{"id":52001,"date":"2021-12-20T12:27:59","date_gmt":"2021-12-20T12:27:59","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/contribuciones-a-la-cohomologia-de-de-rham-de-las-variedades-algebraicas\/"},"modified":"2021-12-20T12:27:59","modified_gmt":"2021-12-20T12:27:59","slug":"contribuciones-a-la-cohomologia-de-de-rham-de-las-variedades-algebraicas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/contribuciones-a-la-cohomologia-de-de-rham-de-las-variedades-algebraicas\/","title":{"rendered":"Contribuciones a la cohomolog\u00eda de de rham de las variedades algebraicas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Guill\u00e9n Santos <\/strong><\/h2>\n<p>La tesis consta de 3 capitulos. En el 1 se introducen las hiperresoluciones cubicas de un esquema en caracteristica 0  que es un procedimiento basado en la resolucion de singularidades de un esquema para extender teorias cohomologicas definidas sobre los esquemas lisos a toda la categoria de esquemas. En el 2 se parte del complejo de formas diferenciales regulares en el caso de un esquema liso y se extiende a una teoria ho-cohomologica para los esquemas singulares  obteniendose diversas sucesiones espectrales  una generalizacion del teorema debil de lefschetz y la formula de kunneth entre otros resultados. En el 3 se introduce  a partir de la cohomolog\u00eda de de rham algebraica  la integracion sobre un grupo algebraico reductivo en caracteristica cero  y se da una prueba algebraica de diversos resultados clasicos: el teorema de chevalley-eilenberg sobre cohomolog\u00eda invariante  las formulas de weyl sobre el caracter y la dimension de una representacion racional irreducible de un grupo reductivo  etc.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Contribuciones a la cohomolog\u00eda de de rham de las variedades algebraicas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Contribuciones a la cohomolog\u00eda de de rham de las variedades algebraicas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Guill\u00e9n Santos <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1983<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Vicen\u00c1\u00a7 Navarro Aznar<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Joan Girbau <\/li>\n<li>Manuel Castellet (vocal)<\/li>\n<li>Manuel Aroca Jose (vocal)<\/li>\n<li>Vicen\u00ed\u00a7 Navarro Aznar (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Guill\u00e9n Santos La tesis consta de 3 capitulos. En el 1 se introducen las hiperresoluciones cubicas [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,5301,126],"tags":[97231,115759,41393,110797,110796,55179],"class_list":["post-52001","post","type-post","status-publish","format-standard","hentry","category-algebra","category-geometria-algebraica","category-matematicas","tag-francisco-guillen-santos","tag-joan-girbau","tag-manuel-aroca-jose","tag-manuel-castellet","tag-vicena-navarro-aznar","tag-viceni-navarro-aznar"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/52001","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=52001"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/52001\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=52001"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=52001"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=52001"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}