{"id":53960,"date":"2006-11-07T00:00:00","date_gmt":"2006-11-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ciclos-algebraicos-y-reduccion-semiestables\/"},"modified":"2006-11-07T00:00:00","modified_gmt":"2006-11-07T00:00:00","slug":"ciclos-algebraicos-y-reduccion-semiestables","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria-algebraica\/ciclos-algebraicos-y-reduccion-semiestables\/","title":{"rendered":"Ciclos algebraicos y reducci\u00f3n semiestables"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Infante Vargas Carlos Alonso <\/strong><\/h2>\n<p>En esta memoria se estudian los grupos de chow de una variedad lisa y proyectiva sobre un cuerpo completo a trav\u00e9s del estudio del morfimos ciclo. concretamente, se construye un morfismo, el llamado morfismo reducci\u00f3n (ver def. 4.2.1), que tiene como dominio los grupos de chow de la variedad y cuya imagen cae dentro de un cociente del grupo de chow de la reducci\u00f3n.  a diferencia del morfismo ciclo l-\u00e1dico, este morfismo tiene la ventaja de no depender del n\u00famero primo l (lema 4.3.3) y permite describir la imagen del morfismo ciclo l-\u00e1dico en el caso de variedades con reducci\u00f3n totalmente degenerada (ver def. 5.2.1 y teo.5.4.4). hay dos ideas de fondo:     la primera consiste en restringirse a las variedades con reducci\u00f3n estrictamente semiestable (ver def.  3.2.2), y a partir de combinaciones de los grupos de chow de las componentes de la reducci\u00f3n, construir estructuras enteras y operadores sobre ellas de forma que se puedan reconstuir los grupos de chow de la variedad inicial.     la segunda idea consiste en relacionar estos operadores sobre las estructuras enteras con la monodrom\u00eda asocia a la cohomolog\u00eda de la variedad.     la existencia de una monodrom\u00eda no trivial es una particularidad de las variedades con reducci\u00f3n totalmente degenerada. Por otro lado, en la propia. 5.6.8 se da la descomposici\u00f3n del operador de monodrom\u00eda sobre la cohomolog\u00eda de de rham. Finalmente, la memoria termina con un cap\u00edtulo dedicado a la aplicaci\u00f3n de la teor\u00eda para el caso de toros anal\u00edticos y producto de curvas de mumford.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ciclos algebraicos y reducci\u00f3n semiestables<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ciclos algebraicos y reducci\u00f3n semiestables <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Infante Vargas Carlos Alonso <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/07\/2006<\/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> Xarles Ribas Francesc Xavier<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: enrique Nart vi\u00f1als <\/li>\n<li>adolfo Quir\u00f3s (vocal)<\/li>\n<li>Jos\u00e9 ignacio Burgos gil (vocal)<\/li>\n<li>klaus K\u00ed\u00bcnnemann (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Infante Vargas Carlos Alonso En esta memoria se estudian los grupos de chow de una variedad lisa [&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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