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$\mu$-Bases de corbes racionals planes

Identificadores del recurso

http://hdl.handle.net/2445/203140

Procedencia

(Dipòsit Digital de la Universitat de Barcelona)

Ficha

Título:: $\mu$-Bases de corbes racionals planes
Tema:: Corbes el·líptiques; Geometria algebraica; Treballs de fi de grau; Varietats abelianes; Elliptic curves; Algebraic geometry; Bachelor's theses; Abelian varieties
Descripción:: 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.
Fuente:: Treballs Finals de Grau (TFG) - Matemàtiques
Idioma:: Catalan; Valencian
Autor/Productor:: Moner i Farran, Berta
Otros colaboradores/productores:: Montoro López, M. Eulàlia
Derechos:: 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
Fecha:: 2023-10-25T08:50:23Z; 2023-06-12
Tipo de recurso:: info:eu-repo/semantics/bachelorThesis
Formato:: 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 >
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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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