Catalònica: Agregador de continguts digitals de Catalunya

Està a:  › Dades de registre

$E_{1}$-Formality of complex algebraic varieties

Identificadors del recurs

1472-2747

http://hdl.handle.net/2445/62303

646269

Procedència

(Dipòsit Digital de la Universitat de Barcelona)

Fitxa

Títol:: $E_{1}$-Formality of complex algebraic varieties
Matèria:: Singularitats (Matemàtica); Teoria de l'homotopia; Singularities (Mathematics); Homotopy theory
Descripció:: Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.
Font:: Articles publicats en revistes (Matemàtiques i Informàtica)
Idioma:: English
Relació:: Reproducció del document publicat a: http://dx.doi.org/10.2140/agt.2014.14.3049; Algebraic and Geometric Topology, 2014, vol. 14, p. 3049-3079; http://dx.doi.org/10.2140/agt.2014.14.3049
Autor/Productor:: Cirici, Joana; Guillén Santos, Francisco
Editor:: Mathematical Sciences Publishers (MSP)
Drets:: (c) Mathematical Sciences Publishers (MSP), 2014; info:eu-repo/semantics/openAccess
Data:: 2015-02-03T11:38:45Z; 2014-11-05
Tipus de recurs:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: 31 p.; application/pdf

oai_dc

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

<oai_dc:dc schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
1. <dc:title>$E_{1}$-Formality of complex algebraic varieties</dc:title>
2. <dc:creator>Cirici, Joana</dc:creator>
3. <dc:creator>Guillén Santos, Francisco</dc:creator>
4. <dc:subject>Singularitats (Matemàtica)</dc:subject>
5. <dc:subject>Teoria de l'homotopia</dc:subject>
6. <dc:subject>Singularities (Mathematics)</dc:subject>
7. <dc:subject>Homotopy theory</dc:subject>
8. <dc:description>Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.</dc:description>
9. <dc:date>2015-02-03T11:38:45Z</dc:date>
10. <dc:date>2015-02-03T11:38:45Z</dc:date>
11. <dc:date>2014-11-05</dc:date>
12. <dc:date>2015-02-03T11:38:45Z</dc:date>
13. <dc:type>info:eu-repo/semantics/article</dc:type>
14. <dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
15. <dc:identifier>1472-2747</dc:identifier>
16. <dc:identifier>http://hdl.handle.net/2445/62303</dc:identifier>
17. <dc:identifier>646269</dc:identifier>
18. <dc:language>eng</dc:language>
19. <dc:relation>Reproducció del document publicat a: http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
20. <dc:relation>Algebraic and Geometric Topology, 2014, vol. 14, p. 3049-3079</dc:relation>
21. <dc:relation>http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
22. <dc:rights>(c) Mathematical Sciences Publishers (MSP), 2014</dc:rights>
23. <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
24. <dc:format>31 p.</dc:format>
25. <dc:format>application/pdf</dc:format>
26. <dc:publisher>Mathematical Sciences Publishers (MSP)</dc:publisher>
27. <dc:source>Articles publicats en revistes (Matemàtiques i Informàtica)</dc:source>
</oai_dc:dc>

edm

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

<rdf:RDF schemaLocation="http://www.w3.org/1999/02/22-rdf-syntax-ns# http://www.europeana.eu/schemas/edm/EDM.xsd">
1. <edm:ProvidedCHO about="https://catalonica.bnc.cat/catalonicahub/lod/oai:diposit.ub.edu:2445_--_62303#ent0">
  1. <dc:creator>Cirici, Joana</dc:creator>
  2. <dc:creator>Guillén Santos, Francisco</dc:creator>
  3. <dc:date>2015-02-03T11:38:45Z</dc:date>
  4. <dc:date>2015-02-03T11:38:45Z</dc:date>
  5. <dc:date>2014-11-05</dc:date>
  6. <dc:date>2015-02-03T11:38:45Z</dc:date>
  7. <dc:description>Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.</dc:description>
  8. <dc:identifier>1472-2747</dc:identifier>
  9. <dc:identifier>http://hdl.handle.net/2445/62303</dc:identifier>
  10. <dc:identifier>646269</dc:identifier>
  11. <dc:language>eng</dc:language>
  12. <dc:publisher>Mathematical Sciences Publishers (MSP)</dc:publisher>
  13. <dc:relation>Reproducció del document publicat a: http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
  14. <dc:relation>Algebraic and Geometric Topology, 2014, vol. 14, p. 3049-3079</dc:relation>
  15. <dc:relation>http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
  16. <dc:rights>(c) Mathematical Sciences Publishers (MSP), 2014</dc:rights>
  17. <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  18. <dc:source>Articles publicats en revistes (Matemàtiques i Informàtica)</dc:source>
  19. <dc:subject>Singularitats (Matemàtica)</dc:subject>
  20. <dc:subject>Teoria de l'homotopia</dc:subject>
  21. <dc:subject>Singularities (Mathematics)</dc:subject>
  22. <dc:subject>Homotopy theory</dc:subject>
  23. <dc:title>$E_{1}$-Formality of complex algebraic varieties</dc:title>
  24. <dc:type>info:eu-repo/semantics/article</dc:type>
  25. <dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
  26. <edm:type>TEXT</edm:type>
  </edm:ProvidedCHO>
2. <ore:Aggregation about="https://catalonica.bnc.cat/catalonicahub/lod/oai:diposit.ub.edu:2445_--_62303#ent1">
  1. <edm:aggregatedCHO resource="https://catalonica.bnc.cat/catalonicahub/lod/oai:diposit.ub.edu:2445_--_62303#ent0" />
  2. <edm:dataProvider>Dipòsit Digital de la Universitat de Barcelona</edm:dataProvider>
  3. <edm:isShownAt resource="http://hdl.handle.net/2445/62303" />
  4. <edm:isShownBy resource="http://diposit.ub.edu/dspace/bitstream/2445/62303/1/646269.pdf" />
  5. <edm:provider>Catalònica</edm:provider>
  6. <edm:rights resource="http://creativecommons.org/licenses/by-nc-nd/4.0/" />
  </ore:Aggregation>
</rdf:RDF>

marc

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

<record schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
1. <leader>00925njm 22002777a 4500</leader>
2. <datafield ind1=" " ind2=" " tag="042">
  1. <subfield code="a">dc</subfield>
  </datafield>
3. <datafield ind1=" " ind2=" " tag="720">
  1. <subfield code="a">Cirici, Joana</subfield>
  2. <subfield code="e">author</subfield>
  </datafield>
4. <datafield ind1=" " ind2=" " tag="720">
  1. <subfield code="a">Guillén Santos, Francisco</subfield>
  2. <subfield code="e">author</subfield>
  </datafield>
5. <datafield ind1=" " ind2=" " tag="260">
  1. <subfield code="c">2014-11-05</subfield>
  </datafield>
6. <datafield ind1=" " ind2=" " tag="520">
  1. <subfield code="a">Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.</subfield>
  </datafield>
7. <datafield ind1="8" ind2=" " tag="024">
  1. <subfield code="a">1472-2747</subfield>
  </datafield>
8. <datafield ind1="8" ind2=" " tag="024">
  1. <subfield code="a">http://hdl.handle.net/2445/62303</subfield>
  </datafield>
9. <datafield ind1="8" ind2=" " tag="024">
  1. <subfield code="a">646269</subfield>
  </datafield>
10. <datafield ind1="0" ind2="0" tag="245">
  1. <subfield code="a">$E_{1}$-Formality of complex algebraic varieties</subfield>
  </datafield>
</record>

mets

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

<mets ID=" DSpace_ITEM_2445-62303" OBJID=" hdl:2445/62303" PROFILE="DSpace METS SIP Profile 1.0" TYPE="DSpace ITEM" schemaLocation="http://www.loc.gov/METS/ http://www.loc.gov/standards/mets/mets.xsd">
1. <metsHdr CREATEDATE="2024-06-05T00:51:00Z">
  1. <agent ROLE="CUSTODIAN" TYPE="ORGANIZATION">
    1. <name>Dipòsit Digital de la Universitat de Barcelona</name>
    </agent>
  </metsHdr>
2. <dmdSec ID="DMD_2445_62303">
  1. <mdWrap MDTYPE="MODS">
    1. <xmlData schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
      1. <mods:mods schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
        <mods:name>
        <mods:role>
        <mods:roleTerm type="text">author</mods:roleTerm>
        </mods:role>
        <mods:namePart>Cirici, Joana</mods:namePart>
        </mods:name>
        <mods:name>
        <mods:role>
        <mods:roleTerm type="text">author</mods:roleTerm>
        </mods:role>
        <mods:namePart>Guillén Santos, Francisco</mods:namePart>
        </mods:name>
        <mods:extension>
        <mods:dateAccessioned encoding="iso8601">2015-02-03T11:38:45Z</mods:dateAccessioned>
        </mods:extension>
        <mods:extension>
        <mods:dateAvailable encoding="iso8601">2015-02-03T11:38:45Z</mods:dateAvailable>
        </mods:extension>
        <mods:originInfo>
        <mods:dateIssued encoding="iso8601">2014-11-05</mods:dateIssued>
        </mods:originInfo>
        <mods:identifier type="issn">1472-2747</mods:identifier>
        <mods:identifier type="uri">http://hdl.handle.net/2445/62303</mods:identifier>
        <mods:identifier type="idgrec">646269</mods:identifier>
        <mods:abstract>Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.</mods:abstract>
        <mods:language>
        <mods:languageTerm authority="rfc3066">eng</mods:languageTerm>
        </mods:language>
        <mods:accessCondition type="useAndReproduction">(c) Mathematical Sciences Publishers (MSP), 2014</mods:accessCondition>
        <mods:titleInfo>
        <mods:title>$E_{1}$-Formality of complex algebraic varieties</mods:title>
        </mods:titleInfo>
        <mods:genre>info:eu-repo/semantics/article</mods:genre>
        </mods:mods>
      </xmlData>
    </mdWrap>
  </dmdSec>
3. <amdSec ID="TMD_2445_62303">
  1. <rightsMD ID="RIG_2445_62303">
    1. <mdWrap MDTYPE="OTHER" MIMETYPE="text/plain" OTHERMDTYPE="DSpaceDepositLicense">
      1. <binData>VG90cyBlbHMgbWF0ZXJpYWxzIGluY2xvc29zIGVuIGVsIERpcMOyc2l0IGRpZ2l0YWwgZGUgbGEgVUIgZXN0YW4gc3ViamVjdGVzIGEgbGxpY8OobmNpZXMgQ3JlYXRpdmUgQ29tbW9ucywKcXVlIGVuIGVsIG1vbWVudCBkZSBsbGl1cmFyIGVsIGRvY3VtZW50IGhhIGQnZXNjb2xsaXIgZWwgcHJvcGkgdXN1YXJpLgpTaSB1cyBwbGF1IG5vIG9ibGlkZXUgYXNzaWduYXIgdW5hIGxsaWPDqG5jaWEgYWwgdm9zdHJlIGRvY3VtZW50IS4K</binData>
      </mdWrap>
    </rightsMD>
  </amdSec>
4. <amdSec ID="FO_2445_62303_1">
  1. <techMD ID="TECH_O_2445_62303_1">
    1. <mdWrap MDTYPE="PREMIS">
      1. <xmlData schemaLocation="http://www.loc.gov/standards/premis http://www.loc.gov/standards/premis/PREMIS-v1-0.xsd">
        <premis:premis>
        <premis:object>
        <premis:objectIdentifier>
        <premis:objectIdentifierType>URL</premis:objectIdentifierType>
        <premis:objectIdentifierValue>http://diposit.ub.edu/dspace/bitstream/2445/62303/1/646269.pdf</premis:objectIdentifierValue>
        </premis:objectIdentifier>
        <premis:objectCategory>File</premis:objectCategory>
        <premis:objectCharacteristics>
        <premis:fixity>
        <premis:messageDigestAlgorithm>MD5</premis:messageDigestAlgorithm>
        <premis:messageDigest>8ae1a76ee2069f30e8305f61081efe5d</premis:messageDigest>
        </premis:fixity>
        <premis:size>411780</premis:size>
        <premis:format>
        <premis:formatDesignation>
        <premis:formatName>application/pdf</premis:formatName>
        </premis:formatDesignation>
        </premis:format>
        </premis:objectCharacteristics>
        <premis:originalName>646269.pdf</premis:originalName>
        </premis:object>
        </premis:premis>
        </xmlData>
      </mdWrap>
    </techMD>
  </amdSec>
5. <amdSec ID="FT_2445_62303_3">
  1. <techMD ID="TECH_T_2445_62303_3">
    1. <mdWrap MDTYPE="PREMIS">
      1. <xmlData schemaLocation="http://www.loc.gov/standards/premis http://www.loc.gov/standards/premis/PREMIS-v1-0.xsd">
        <premis:premis>
        <premis:object>
        <premis:objectIdentifier>
        <premis:objectIdentifierType>URL</premis:objectIdentifierType>
        <premis:objectIdentifierValue>http://diposit.ub.edu/dspace/bitstream/2445/62303/3/646269.pdf.txt</premis:objectIdentifierValue>
        </premis:objectIdentifier>
        <premis:objectCategory>File</premis:objectCategory>
        <premis:objectCharacteristics>
        <premis:fixity>
        <premis:messageDigestAlgorithm>MD5</premis:messageDigestAlgorithm>
        <premis:messageDigest>96600cafc685978c5f0614efaa057b39</premis:messageDigest>
        </premis:fixity>
        <premis:size>61964</premis:size>
        <premis:format>
        <premis:formatDesignation>
        <premis:formatName>text/plain</premis:formatName>
        </premis:formatDesignation>
        </premis:format>
        </premis:objectCharacteristics>
        <premis:originalName>646269.pdf.txt</premis:originalName>
        </premis:object>
        </premis:premis>
        </xmlData>
      </mdWrap>
    </techMD>
  </amdSec>
6. <fileSec>
  1. <fileGrp USE="ORIGINAL">
    1. <file ADMID="FO_2445_62303_1" CHECKSUM="8ae1a76ee2069f30e8305f61081efe5d" CHECKSUMTYPE="MD5" GROUPID="GROUP_BITSTREAM_2445_62303_1" ID="BITSTREAM_ORIGINAL_2445_62303_1" MIMETYPE="application/pdf" SEQ="1" SIZE="411780">
      1. <FLocat LOCTYPE="URL" href="http://diposit.ub.edu/dspace/bitstream/2445/62303/1/646269.pdf" type="simple" />
      </file>
    </fileGrp>
  2. <fileGrp USE="TEXT">
    1. <file ADMID="FT_2445_62303_3" CHECKSUM="96600cafc685978c5f0614efaa057b39" CHECKSUMTYPE="MD5" GROUPID="GROUP_BITSTREAM_2445_62303_3" ID="BITSTREAM_TEXT_2445_62303_3" MIMETYPE="text/plain" SEQ="3" SIZE="61964">
      1. <FLocat LOCTYPE="URL" href="http://diposit.ub.edu/dspace/bitstream/2445/62303/3/646269.pdf.txt" type="simple" />
      </file>
    </fileGrp>
  </fileSec>
7. <structMap LABEL="DSpace Object" TYPE="LOGICAL">
  1. <div ADMID="DMD_2445_62303" TYPE="DSpace Object Contents">
    1. <div TYPE="DSpace BITSTREAM">
      1. <fptr FILEID="BITSTREAM_ORIGINAL_2445_62303_1" />
      </div>
    </div>
  </structMap>
</mets>

mods

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

<mods:mods schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
1. <mods:name>
  1. <mods:namePart>Cirici, Joana</mods:namePart>
  </mods:name>
2. <mods:name>
  1. <mods:namePart>Guillén Santos, Francisco</mods:namePart>
  </mods:name>
3. <mods:extension>
  1. <mods:dateAvailable encoding="iso8601">2015-02-03T11:38:45Z</mods:dateAvailable>
  </mods:extension>
4. <mods:extension>
  1. <mods:dateAccessioned encoding="iso8601">2015-02-03T11:38:45Z</mods:dateAccessioned>
  </mods:extension>
5. <mods:originInfo>
  1. <mods:dateIssued encoding="iso8601">2014-11-05</mods:dateIssued>
  </mods:originInfo>
6. <mods:identifier type="issn">1472-2747</mods:identifier>
7. <mods:identifier type="uri">http://hdl.handle.net/2445/62303</mods:identifier>
8. <mods:identifier type="idgrec">646269</mods:identifier>
9. <mods:abstract>Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.</mods:abstract>
10. <mods:language>
  1. <mods:languageTerm>eng</mods:languageTerm>
  </mods:language>
11. <mods:accessCondition type="useAndReproduction">info:eu-repo/semantics/openAccess</mods:accessCondition>
12. <mods:accessCondition type="useAndReproduction">(c) Mathematical Sciences Publishers (MSP), 2014</mods:accessCondition>
13. <mods:titleInfo>
  1. <mods:title>$E_{1}$-Formality of complex algebraic varieties</mods:title>
  </mods:titleInfo>
14. <mods:genre>info:eu-repo/semantics/article</mods:genre>
15. <mods:genre>info:eu-repo/semantics/publishedVersion</mods:genre>
</mods:mods>

qdc

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

<qdc:qualifieddc schemaLocation="http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd">
1. <dc:title>$E_{1}$-Formality of complex algebraic varieties</dc:title>
2. <dc:creator>Cirici, Joana</dc:creator>
3. <dc:creator>Guillén Santos, Francisco</dc:creator>
4. <dc:subject.classification>Singularitats (Matemàtica)</dc:subject.classification>
5. <dc:subject.classification>Teoria de l'homotopia</dc:subject.classification>
6. <dc:subject.other>Singularities (Mathematics)</dc:subject.other>
7. <dc:subject.other>Homotopy theory</dc:subject.other>
8. <dcterms:abstract>Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.</dcterms:abstract>
9. <dcterms:dateAccepted>2015-02-03T11:38:45Z</dcterms:dateAccepted>
10. <dcterms:available>2015-02-03T11:38:45Z</dcterms:available>
11. <dcterms:created>2015-02-03T11:38:45Z</dcterms:created>
12. <dcterms:issued>2014-11-05</dcterms:issued>
13. <dc:type>info:eu-repo/semantics/article</dc:type>
14. <dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
15. <dc:identifier>1472-2747</dc:identifier>
16. <dc:identifier>http://hdl.handle.net/2445/62303</dc:identifier>
17. <dc:identifier>646269</dc:identifier>
18. <dc:identifier.issn>1472-2747</dc:identifier.issn>
19. <dc:language>eng</dc:language>
20. <dc:relation>Reproducció del document publicat a: http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
21. <dc:relation>Algebraic and Geometric Topology, 2014, vol. 14, p. 3049-3079</dc:relation>
22. <dc:relation>http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
23. <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
24. <dc:rights>(c) Mathematical Sciences Publishers (MSP), 2014</dc:rights>
25. <dc:publisher>Mathematical Sciences Publishers (MSP)</dc:publisher>
26. <dc:source>Articles publicats en revistes (Matemàtiques i Informàtica)</dc:source>
</qdc:qualifieddc>

rdf

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

<rdf:RDF schemaLocation="http://www.openarchives.org/OAI/2.0/rdf/ http://www.openarchives.org/OAI/2.0/rdf.xsd">
1. <ow:Publication about="oai:diposit.ub.edu:2445/62303">
  1. <dc:title>$E_{1}$-Formality of complex algebraic varieties</dc:title>
  2. <dc:creator>Cirici, Joana</dc:creator>
  3. <dc:creator>Guillén Santos, Francisco</dc:creator>
  4. <dc:description>Let $X$ be a smooth complex algebraic variety. Morgan showed that the rational homotopy type of $X$ is a formal consequence of the differential graded algebra defined by the first term $E_{1}(X,W)$ of its weight spectral sequence. In the present work, we generalize this result to arbitrary nilpotent complex algebraic varieties (possibly singular and/or non-compact) and to algebraic morphisms between them. In particular, our results generalize the formality theorem of Deligne, Griffiths, Morgan and Sullivan for morphisms of compact Kähler varieties, filling a gap in Morgan"s theory concerning functoriality over the rationals. As an application, we study the Hopf invariant of certain algebraic morphisms using intersection theory.</dc:description>
  5. <dc:date>2015-02-03T11:38:45Z</dc:date>
  6. <dc:date>2015-02-03T11:38:45Z</dc:date>
  7. <dc:date>2014-11-05</dc:date>
  8. <dc:date>2015-02-03T11:38:45Z</dc:date>
  9. <dc:type>info:eu-repo/semantics/article</dc:type>
  10. <dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
  11. <dc:identifier>1472-2747</dc:identifier>
  12. <dc:identifier>http://hdl.handle.net/2445/62303</dc:identifier>
  13. <dc:identifier>646269</dc:identifier>
  14. <dc:language>eng</dc:language>
  15. <dc:relation>Reproducció del document publicat a: http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
  16. <dc:relation>Algebraic and Geometric Topology, 2014, vol. 14, p. 3049-3079</dc:relation>
  17. <dc:relation>http://dx.doi.org/10.2140/agt.2014.14.3049</dc:relation>
  18. <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  19. <dc:rights>(c) Mathematical Sciences Publishers (MSP), 2014</dc:rights>
  20. <dc:publisher>Mathematical Sciences Publishers (MSP)</dc:publisher>
  21. <dc:source>Articles publicats en revistes (Matemàtiques i Informàtica)</dc:source>
  </ow:Publication>
</rdf:RDF>

Biblioteca de Catalunya Carrer de l'Hospital, 56. 08001 Barcelona Adreça electrònica: catalonica@bnc.cat Tlf.: +34 932 702 300

Repositori OAI