{"id":12020,"date":"2001-06-07T00:00:00","date_gmt":"2001-06-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-la-complejidad-de-la-representacion-de-variedades-algebraicas\/"},"modified":"2001-06-07T00:00:00","modified_gmt":"2001-06-07T00:00:00","slug":"sobre-la-complejidad-de-la-representacion-de-variedades-algebraicas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-la-complejidad-de-la-representacion-de-variedades-algebraicas\/","title":{"rendered":"Sobre la complejidad de la representacion de variedades algebraicas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> David Castro Esteban <\/strong><\/h2>\n<p>La presente memoria se enmarca dentro de la disciplina \u00abfundamentos de las matematicas computacionales\u00bb. En concreto, ci\u00f1e su ambito de accion al campo de la resolucion eficaz de sistemas de ecuaciones polinomiales multivariadas. Tiene como objetivo el estudio de las distintas estructuras de datos que representan el conjunto de soluciones de dichas ecuaciones.  los principales resultados contenidos en la memoria se resumen en los siguientes epigrafes.  -cotas inferiores de car\u00e1cter exponencial para la complejidad del calculo de soluciones aproximadas suponiendo el modelo discreto de maquinas de turing, esto es, que las ecuaciones tengan sus coeficientes en el cuerpo de los racionales.  -equiValencia computacional de las representaciones numericas y simbolicas en el modelo discreto.  -unificacion del modelo discreto (maquinas de turing) y el continuo (analisis numerico, complejidad algebraica de los fundamentos de analisis numerico (numero de condicionamiento) mediante la geometria de los numeros.  -unificacion parcial de la fundamentacion del calculo simbolico y del analisis numerico en el caso continuo (complejidad algebraica) gracias a la teoria de la deformacion y la teoria de singularidades.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre la complejidad de la representacion de variedades algebraicas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre la complejidad de la representacion de variedades algebraicas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 David Castro Esteban <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Cantabria<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 06\/07\/2001<\/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> Pardo Vasallo Luis Miguel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: leon atilano Gonzalez sotos <\/li>\n<li>jean-pierre Dedieu (vocal)<\/li>\n<li>marc Giusti (vocal)<\/li>\n<li>jean-claude Yakoubsohn (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de David Castro Esteban La presente memoria se enmarca dentro de la disciplina \u00abfundamentos de las matematicas computacionales\u00bb. [&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":[2809,1191,10518,1890,16880,5301,39392,13880,126,14514],"tags":[39393,39396,20909,32528,39395,39394],"class_list":["post-12020","post","type-post","status-publish","format-standard","hentry","category-algebra","category-analisis-numerico","category-cantabria","category-ciencia-de-los-ordenadores","category-construccion-de-algoritmos","category-geometria-algebraica","category-geometria-de-los-numeros","category-informatica","category-matematicas","category-teoria-de-los-numeros","tag-david-castro-esteban","tag-jean-claude-yakoubsohn","tag-jean-pierre-dedieu","tag-leon-atilano-gonzalez-sotos","tag-marc-giusti","tag-pardo-vasallo-luis-miguel"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12020","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=12020"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/12020\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=12020"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=12020"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=12020"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}