The Gauss-Manin connection for the Legendre family of elliptic curves

We study the Picard-Fuchs equation from both the classical and modern perspectives. The classical perspective uses only elementary calculus on manifolds, while the modern perspective looks at the problem using the tools of sheaf theory and cohomology.

Autores:: Barrero Rosero, Daniel Ricardo

Tipo de recurso:

Fecha de publicación:: 2021

Institución:: Universidad de los Andes

Repositorio:: Séneca: repositorio Uniandes

Idioma:: spa

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spelling	Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Backelin, Erikvirtual::15917-1Barrero Rosero, Daniel Ricardo9c67671b-4c0b-43a9-86d1-e6b9689388b0400Bressler, PaulRengifo Gutiérrez, Camilo2022-02-22T20:09:11Z2022-02-22T20:09:11Z2021http://hdl.handle.net/1992/5566226061.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/We study the Picard-Fuchs equation from both the classical and modern perspectives. The classical perspective uses only elementary calculus on manifolds, while the modern perspective looks at the problem using the tools of sheaf theory and cohomology.Se estudia la ecuación de Picard-Fuchs desde la perspectiva clásica, usando la teoría básica de cálculo en variedades; y desde la perspectiva moderna, usando teoría de cohomología con coeficientes en un haz.Magíster en MatemáticasMaestría25 páginasapplication/pdfspaUniversidad de los AndesMaestría en MatemáticasFacultad de CienciasDepartamento de MatemáticasThe Gauss-Manin connection for the Legendre family of elliptic curvesTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMCoeficientes en un hazEcuación de Picard-FuchsCálculo en variedadesTeoría de cohomologíaFísica201116171Publicationfbb6993b-c647-4e21-b297-2fb6477ab8e2virtual::15917-1fbb6993b-c647-4e21-b297-2fb6477ab8e2virtual::15917-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000954934virtual::15917-1ORIGINAL26061.pdfapplication/pdf680737https://repositorio.uniandes.edu.co/bitstreams/6c13ddde-0137-4997-9203-966f36e6bb45/download1b002f62d70b62618efa13b33ef8e0d2MD51THUMBNAIL26061.pdf.jpg26061.pdf.jpgIM Thumbnailimage/jpeg2766https://repositorio.uniandes.edu.co/bitstreams/55c00e7c-0d52-4e88-bf92-a2410825d006/download5631bcf90b799ef827763a9c53e4467eMD53TEXT26061.pdf.txt26061.pdf.txtExtracted texttext/plain40642https://repositorio.uniandes.edu.co/bitstreams/7cccbf6b-7361-4869-b198-d4408a303c3a/download9f4c63291160cb46cfdd63da5e01cfffMD521992/55662oai:repositorio.uniandes.edu.co:1992/556622024-03-13 15:35:12.605http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.eng.fl_str_mv	The Gauss-Manin connection for the Legendre family of elliptic curves
title	The Gauss-Manin connection for the Legendre family of elliptic curves
spellingShingle	The Gauss-Manin connection for the Legendre family of elliptic curves Coeficientes en un haz Ecuación de Picard-Fuchs Cálculo en variedades Teoría de cohomología Física
title_short	The Gauss-Manin connection for the Legendre family of elliptic curves
title_full	The Gauss-Manin connection for the Legendre family of elliptic curves
title_fullStr	The Gauss-Manin connection for the Legendre family of elliptic curves
title_full_unstemmed	The Gauss-Manin connection for the Legendre family of elliptic curves
title_sort	The Gauss-Manin connection for the Legendre family of elliptic curves
dc.creator.fl_str_mv	Barrero Rosero, Daniel Ricardo
dc.contributor.advisor.none.fl_str_mv	Backelin, Erik
dc.contributor.author.spa.fl_str_mv	Barrero Rosero, Daniel Ricardo
dc.contributor.jury.spa.fl_str_mv	Bressler, Paul Rengifo Gutiérrez, Camilo
dc.subject.keyword.none.fl_str_mv	Coeficientes en un haz Ecuación de Picard-Fuchs Cálculo en variedades Teoría de cohomología
topic	Coeficientes en un haz Ecuación de Picard-Fuchs Cálculo en variedades Teoría de cohomología Física
dc.subject.themes.none.fl_str_mv	Física
description	We study the Picard-Fuchs equation from both the classical and modern perspectives. The classical perspective uses only elementary calculus on manifolds, while the modern perspective looks at the problem using the tools of sheaf theory and cohomology.
publishDate	2021
dc.date.issued.none.fl_str_mv	2021
dc.date.accessioned.none.fl_str_mv	2022-02-22T20:09:11Z
dc.date.available.none.fl_str_mv	2022-02-22T20:09:11Z
dc.type.spa.fl_str_mv	Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv	info:eu-repo/semantics/masterThesis
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dc.format.extent.spa.fl_str_mv	25 páginas
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dc.publisher.spa.fl_str_mv	Universidad de los Andes
dc.publisher.program.spa.fl_str_mv	Maestría en Matemáticas
dc.publisher.faculty.spa.fl_str_mv	Facultad de Ciencias
dc.publisher.department.spa.fl_str_mv	Departamento de Matemáticas
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The Gauss-Manin connection for the Legendre family of elliptic curves

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