{"id":23896,"date":"2018-03-09T09:14:37","date_gmt":"2018-03-09T09:14:37","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/geometria-infinitesimal-de-esquemas-formales\/"},"modified":"2018-03-09T09:14:37","modified_gmt":"2018-03-09T09:14:37","slug":"geometria-infinitesimal-de-esquemas-formales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/geometria-infinitesimal-de-esquemas-formales\/","title":{"rendered":"Geometr\u00eda infinitesimal de esquemas formales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Marta P\u00e9rez Rodr\u00edguez <\/strong><\/h2>\n<p>En este trabajo se aborda de forma sistem\u00e1tica el estudio de las conduciones infinitesimales de morfismos de esquemas formales. Tratamos primero las condiciones de levantamiento (formalmente liso, formalmente no ramificado, formalmente \u00e9tale) en el contexto de esquemas formales e introducimos las nociones de morfismo liso, no ramificado y \u00e9tale si el morfismo es adem\u00e1s de pseudo tipo finito. Esta condici\u00f3n permite la caracterizaci\u00f3n de las condiciones infinitesimales en t\u00e9rminos diferenciales incluyendo las versiones usuales de los criterios jacobianos. Si adem\u00e1s el morfismo es \u00e1dico, se prueba que las condiciones infinitesimales est\u00e1n determinadas por las condiciones infinitesimales de los morfismos de esquemas subyacentes. Para morfismos no necesariamente \u00e1dicos se obtine una caracterizaci\u00f3n local de los morfismos lisos (no ramificados, \u00e9tales) en t\u00e9rminos de compleciones (pseudo encajes cerrados, compleciones) y morfismos lisos \u00e1dicos (\u00e9tales \u00e1dicos, \u00e9tales \u00e1dicos) que entendemos que esclarece completamente la estructura de los morfismos lisos (\u00e9tales, no ramificados, respectivamente) de esquemas formales. por otro lado, este estudio permite el desarrollo de una teor\u00eda de la deformaci\u00f3n formal para morfismos lisos de esquemas formales.  la memoria se completa con aplicaciones de la teor\u00eda desarrollada. En concreto, estudiamos la cohomolog\u00eda de de rham en caracter\u00edstica positiva. Hemos demostrado el an\u00e1logo del teorema de descomposici\u00f3n para un esquema formal liso sobre un cuerpo de caracter\u00edstica positiva.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Geometr\u00eda infinitesimal de esquemas formales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Geometr\u00eda infinitesimal de esquemas formales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Marta P\u00e9rez Rodr\u00edguez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/06\/2003<\/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>Leovigildo Alonso Tarr\u00edo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: emilio Villanueva novoa <\/li>\n<li>Luis Narv\u00e1ez macarro (vocal)<\/li>\n<li>norbert Schappacher (vocal)<\/li>\n<li>adolfo Quiros gracian (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Marta P\u00e9rez Rodr\u00edguez En este trabajo se aborda de forma sistem\u00e1tica el estudio de las conduciones infinitesimales [&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 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