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Linked Open Data
$\mu$-Bases de corbes racionals planes
Resource identifiers
http://hdl.handle.net/2445/203140
Origin
(Dipòsit Digital de la Universitat de Barcelona)

File

Title:
$\mu$-Bases de corbes racionals planes
Subject:
Corbes el·líptiques
Geometria algebraica
Treballs de fi de grau
Varietats abelianes
Elliptic curves
Algebraic geometry
Bachelor's theses
Abelian varieties
Description:
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: M. Eulàlia Montoro López
[en] In this work, the $\mu$-bases of plane rational curves are shown from the point of view of algebraic geometry and algebraic varieties. Thus, the Gröbner bases are previously presented, which are of great importance in this area but more expensive than the $\mu$ bases. Based on the definition and construction of the latter, two applications are shown: modules and implication, both polynomial and rational. The work is based on the article The moving line ideal basis of planar rational curves from Cox, D.A, Sederberg, T.W., Chen, F. published on 1998 by Computer Aided Geometry Design 15.
Origin:
Treballs Finals de Grau (TFG) - Matemàtiques
Idioma:
Catalan; Valencian
Author/Producer:
Moner i Farran, Berta
Other collaborators/producers:
Montoro López, M. Eulàlia
Rights:
cc-by-nc-nd (c) Berta Moner i Farran, 2023
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
Date:
2023-10-25T08:50:23Z
2023-06-12
Resource type:
info:eu-repo/semantics/bachelorThesis
Format:
61 p.
application/pdf

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    5. < dc:subject > Geometria algebraica </ dc:subject >

    6. < dc:subject > Treballs de fi de grau </ dc:subject >

    7. < dc:subject > Varietats abelianes </ dc:subject >

    8. < dc:subject > Elliptic curves </ dc:subject >

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    5. < dc:subject.classification > Geometria algebraica </ dc:subject.classification >

    6. < dc:subject.classification > Treballs de fi de grau </ dc:subject.classification >

    7. < dc:subject.classification > Varietats abelianes </ dc:subject.classification >

    8. < dc:subject.other > Elliptic curves </ dc:subject.other >

    9. < dc:subject.other > Algebraic geometry </ dc:subject.other >

    10. < dc:subject.other > Bachelor's theses </ dc:subject.other >

    11. < dc:subject.other > Abelian varieties </ dc:subject.other >

    12. < dcterms:abstract > [en] In this work, the $\mu$-bases of plane rational curves are shown from the point of view of algebraic geometry and algebraic varieties. Thus, the Gröbner bases are previously presented, which are of great importance in this area but more expensive than the $\mu$ bases. Based on the definition and construction of the latter, two applications are shown: modules and implication, both polynomial and rational. The work is based on the article The moving line ideal basis of planar rational curves from Cox, D.A, Sederberg, T.W., Chen, F. published on 1998 by Computer Aided Geometry Design 15. </ dcterms:abstract >

    13. < dcterms:dateAccepted > 2023-10-25T08:50:23Z </ dcterms:dateAccepted >

    14. < dcterms:available > 2023-10-25T08:50:23Z </ dcterms:available >

    15. < dcterms:created > 2023-10-25T08:50:23Z </ dcterms:created >

    16. < dcterms:issued > 2023-06-12 </ dcterms:issued >

    17. < dc:type > info:eu-repo/semantics/bachelorThesis </ dc:type >

    18. < dc:identifier > http://hdl.handle.net/2445/203140 </ dc:identifier >

    19. < dc:language > cat </ dc:language >

    20. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >

    21. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >

    22. < dc:rights > cc-by-nc-nd (c) Berta Moner i Farran, 2023 </ dc:rights >

    23. < dc:source > Treballs Finals de Grau (TFG) - Matemàtiques </ dc:source >

    </ qdc:qualifieddc >

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      1. < dc:title > $\mu$-Bases de corbes racionals planes </ dc:title >

      2. < dc:creator > Moner i Farran, Berta </ dc:creator >

      3. < dc:contributor > Montoro López, M. Eulàlia </ dc:contributor >

      4. < dc:description > Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: M. Eulàlia Montoro López </ dc:description >

      5. < dc:description > [en] In this work, the $\mu$-bases of plane rational curves are shown from the point of view of algebraic geometry and algebraic varieties. Thus, the Gröbner bases are previously presented, which are of great importance in this area but more expensive than the $\mu$ bases. Based on the definition and construction of the latter, two applications are shown: modules and implication, both polynomial and rational. The work is based on the article The moving line ideal basis of planar rational curves from Cox, D.A, Sederberg, T.W., Chen, F. published on 1998 by Computer Aided Geometry Design 15. </ dc:description >

      6. < dc:date > 2023-10-25T08:50:23Z </ dc:date >

      7. < dc:date > 2023-10-25T08:50:23Z </ dc:date >

      8. < dc:date > 2023-06-12 </ dc:date >

      9. < dc:type > info:eu-repo/semantics/bachelorThesis </ dc:type >

      10. < dc:identifier > http://hdl.handle.net/2445/203140 </ dc:identifier >

      11. < dc:language > cat </ dc:language >

      12. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >

      13. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >

      14. < dc:rights > cc-by-nc-nd (c) Berta Moner i Farran, 2023 </ dc:rights >

      15. < dc:source > Treballs Finals de Grau (TFG) - Matemàtiques </ dc:source >

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