{"id":33003,"date":"1997-07-07T00:00:00","date_gmt":"1997-07-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algebras-de-campos-vectoriales-asociadas-a-singularidades-determinacion-finita\/"},"modified":"1997-07-07T00:00:00","modified_gmt":"1997-07-07T00:00:00","slug":"algebras-de-campos-vectoriales-asociadas-a-singularidades-determinacion-finita","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algebras-de-campos-vectoriales-asociadas-a-singularidades-determinacion-finita\/","title":{"rendered":"Algebras de campos vectoriales asociadas a singularidades. determinacion finita."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Tom\u00e1s P\u00e9rez P\u00e9rez <\/strong><\/h2>\n<p>Se trata el problema general de clasificaci\u00f3n de g\u00e9rmenes de aplicaciones, el an\u00e1lisis de conceptos como la determinaci\u00f3n finita, rangos de determinaci\u00f3n y las deformaciones de singularidades. Las aportaciones se resumen en dos bloques:  1. Se desarrolla una t\u00e9cnica algebraica basada en el estudio de k-\u00e1lgebras asociadas a singularidades: se estudian y se proporcionan propiedades de los m\u00f3dulos de derivaciones de \u00e1lgebras cocientes, con especial atenci\u00f3n a las k-\u00e1lgebras anal\u00edticas, se establece la relaci\u00f3n con \u00e1lgebras de lie de campos vectoriales asociadas a singularidades de g\u00e9rmenes de funciones mediante una representaci\u00f3n y se completa este estudio y los resultados con numerosos ejemplos donde se muestran propiedades relevantes de este tipo de \u00e1lgebras.  2. Se realiza un estudio detallado de la propiedad de determinaci\u00f3n finita, sus extensiones y los rangos de determinaci\u00f3n. La introducci\u00f3n del concepto de \u00ab\u00e1lgebras tangentes\u00bb permite, junto a la consideraci\u00f3n de otros conceptos ya conocidos (acciones de grupos unipotentes, etc), obtener una bater\u00eda de nuevos resultados de determinaci\u00f3n. Se exploran las propiedades de los rangos de determinaci\u00f3n tangentes obtenidos, la sistematizaci\u00f3n de su generaci\u00f3n as\u00ed como su buena adaptaci\u00f3n computacional.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algebras de campos vectoriales asociadas a singularidades. determinacion finita.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algebras de campos vectoriales asociadas a singularidades. determinacion finita. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Tom\u00e1s P\u00e9rez P\u00e9rez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 07\/07\/1997<\/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>F. Javier Finat Codes<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 manuel Aroca hernandez ros <\/li>\n<li>Jos\u00e9 Luis Vicente c\u00f3rdoba (vocal)<\/li>\n<li>Alberto l. Perez  de vargas (vocal)<\/li>\n<li>Francisco Jes\u00fas Castro jim\u00e9nez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Tom\u00e1s P\u00e9rez P\u00e9rez Se trata el problema general de clasificaci\u00f3n de g\u00e9rmenes de aplicaciones, el an\u00e1lisis de [&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":[2809,26590,583,126,12451],"tags":[90410,90409,37759,3752,12587,90408],"class_list":["post-33003","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-de-lie","category-geometria","category-matematicas","category-valladolid","tag-alberto-l-perez-de-vargas","tag-f-javier-finat-codes","tag-francisco-jesus-castro-jimenez","tag-jose-luis-vicente-cordoba","tag-jose-manuel-aroca-hernandez-ros","tag-tomas-perez-perez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33003","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=33003"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33003\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=33003"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=33003"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=33003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}