{"id":61616,"date":"2018-03-09T22:49:29","date_gmt":"2018-03-09T22:49:29","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/on-higher-arithmetic-intersection-theory\/"},"modified":"2018-03-09T22:49:29","modified_gmt":"2018-03-09T22:49:29","slug":"on-higher-arithmetic-intersection-theory","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/barcelona\/on-higher-arithmetic-intersection-theory\/","title":{"rendered":"On higher arithmetic intersection theory"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Feliu I Trijueque Elisenda <\/strong><\/h2>\n<p>Los resultados de esta tesis se enmarcan en el programa de la teor\u00eda de arakelov que tiene por finalidad dar an\u00e1logos aritm\u00e9ticos de la teor\u00eda de intersecci\u00f3n algebraica.     en la primera parte de la tesis, mediante teor\u00eda homot\u00f3pica de haces simpliciales, damos teoremas de comparaci\u00f3n para clases caracter\u00edsticas en teor\u00eda k algebraica superior. Damos en particular una caracterizaci\u00f3n de las operaciones de adams y del car\u00e1cter de chern.     a continuaci\u00f3n desarrollamos una teor\u00eda de intersecci\u00f3n aritm\u00e9tica superior para variedades aritm\u00e9ticas sobre un cuerpo. Definimos grupos de chow aritm\u00e9ticos superiores dotados de una estructura multiplicativa asociativa y conmutativa. Para ello, construimos previamente un representante del regulador de beilinson en la categor\u00eda derivada de complejos.     finalmente damos un morfismo de cadenas que induce las operaciones de adams en teor\u00eda k algebraica superior a coeficientes racionales. Esta construcci\u00f3n nos permite dotar a los grupos de teor\u00eda k aritm\u00e9tica superior rational de una estructura de pre-lambda-anillo.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>On higher arithmetic intersection theory<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 On higher arithmetic intersection theory <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Feliu I Trijueque Elisenda <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/11\/2007<\/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>Jos\u00e9 Ignacio Burgos Gil<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Vicen\u00ed\u00a7 Navarro Aznar <\/li>\n<li>Damian R\u00ed\u00b6ssler (vocal)<\/li>\n<li>Klaus K\u00ed\u00bcnnemann (vocal)<\/li>\n<li>Pere Pascual Gainza (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Feliu I Trijueque Elisenda Los resultados de esta tesis se enmarcan en el programa de la teor\u00eda [&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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