{"id":1248,"date":"1994-01-01T00:00:00","date_gmt":"1994-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1994\/01\/01\/propiedad-de-artin-lang-para-variedades-analiticas-de-dimension-dos\/"},"modified":"1994-01-01T00:00:00","modified_gmt":"1994-01-01T00:00:00","slug":"propiedad-de-artin-lang-para-variedades-analiticas-de-dimension-dos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/propiedad-de-artin-lang-para-variedades-analiticas-de-dimension-dos\/","title":{"rendered":"Propiedad de artin-lang para variedades analiticas de dimension dos."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Castilla Carbajo Ana Africa <\/strong><\/h2>\n<p>El objetivo central de esta tesis ha sido el estudio de los conjuntos semianaliticos globales en una variedad analitica real m no compacta de dimension 2. Los resultados mas importantes son los siguientes: en primer lugar se demuestra que los cuerpos residuales de ideales maximales del anillo de funciones analiticas sobre m son reales y cerrados. En segundo lugar se desarrolla una tecnica que consiste en asociar un filtro maximal de semianaliticos globales cerrados a cada orden total sobre un conjunto analitico irreducible. Como primeras aplicaciones se demuestran los teoremas de artin-lang y el problema 17 de hilbert para determinadas familias de funciones meromorfas, y una caracterizacion geometrica mediante curvas analiticas de las funciones con soporte compacto que son sumas de potencias 2k-esimas de funciones meromorfas. Gracias tambien a esta tecnica y otros resultados se obtiene la propiedad de artin-lang para variedades analiticas reales conexas y paracompactas de dimension dos. A continuacion se demuestran la semianaliticidad global de las componentes conexas y de la adherencia para dimension  2 y  3, respectivamente.  para terminar un resultado en dimension dos que muestra que un semianalitico es global si y solo si lo es su frontera.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Propiedad de artin-lang para variedades analiticas de dimension dos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Propiedad de artin-lang para variedades analiticas de dimension dos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Castilla Carbajo Ana Africa <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1994<\/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>Carlos Andradas Heranz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Ignacio Luengo Velasco <\/li>\n<li>Piotr Jaworski (vocal)<\/li>\n<li>Jes\u00fas Ruiz Sancho (vocal)<\/li>\n<li>Tomas Recio Mu\u00f1iz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Castilla Carbajo Ana Africa El objetivo central de esta tesis ha sido el estudio de los conjuntos [&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":[5303,5302,5304,5306,5305,3530],"class_list":["post-1248","post","type-post","status-publish","format-standard","hentry","category-algebra","category-geometria-algebraica","category-matematicas","tag-carlos-andradas-heranz","tag-castilla-carbajo-ana-africa","tag-ignacio-luengo-velasco","tag-jesus-ruiz-sancho","tag-piotr-jaworski","tag-tomas-recio-muniz"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/1248","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=1248"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/1248\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=1248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=1248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=1248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}