{"id":88812,"date":"2001-09-02T00:00:00","date_gmt":"2001-09-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/descripcion-espla%c2%adcita-de-t-estructuras-sobre-espacios-estratificados\/"},"modified":"2001-09-02T00:00:00","modified_gmt":"2001-09-02T00:00:00","slug":"descripcion-espla%c2%adcita-de-t-estructuras-sobre-espacios-estratificados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/descripcion-espla%c2%adcita-de-t-estructuras-sobre-espacios-estratificados\/","title":{"rendered":"\u00abdescripcion espl\u00edcita de t-estructuras sobre espacios estratificados\u00bb"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Felix Gudiel Rodriguez <\/strong><\/h2>\n<p>En el presente trabajo abordamos la cuesti\u00f3n de la descripci\u00f3n de las categorias de haces perversos desde un punto de vista general y puramente topol\u00f3gico, desarrollando el m\u00e9todo iniciado en [2], y poniendo, pues, el acento en el proceso de \u00abpegamiento\u00bb de t-estructuras [1].  generalizamos las contrucciones de [2], definiendo un funtor    que nos caracteriza los haces perversos, k e peru d       (k) e peru d-1(x), que \u00abreduce\u00bb la perversidad del haz inicial. Esto, unido a que peru o(x) se identifica a la categor\u00eda de las haces usuales sobre el espacio x, nos permitir\u00e1 expresar los haces perversos de manera m\u00e1s sencilla.  a patir de la descripci\u00f3n inductiva anterior, contruimos unas categor\u00edas abelianas en t\u00e9rminos de haces usuales definidos sobre los estratos y unos funtores(exasctos) entre dichas categor\u00edas y demostramos que dichas categor\u00edas son equivalente a la de los haces perversos. En particular obtenemos unos modelos concretos de complejos que representan los haces perversos y con los que se puede trabajar expl\u00edcitamente.  se discute la funtorialidad del cono de un morfismo, para algunas categorias de las manejadas(cuando en principio no se puede definir en la categoria derivada). Se incluye un contraejemplo para hacer notar que, incluso en nuestro caso, en el que est\u00e1 definido, dicho cono no est\u00e1 determinado salvo isomorfismo \u00fanico.  se estudia el caso de los haces perversos \u00abnegativos\u00bb, donde(si bien nuestra construcci\u00f3n es igualmente valida) la descripcion de los haces perversos es m\u00e1s simple por no existir extensiones no triviales.  retomando la situaci\u00f3n de [2], se describen los haces perversos c\u00f3nicos sobre un espacio k(r,1) (para llegar al mismo resultado de all\u00ed para el caso d=1), e incluso generalizarlo para un d cualquiera.  referencias  [1] a.A. Beilinson, j.Bernstein y p. Deligne. Faisceaux pervers. Asterisque 100, societe mathematique de france,1983.  [2]l.Narvaez macarro. Cycles evanesce<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>\u00abdescripcion espl\u00edcita de t-estructuras sobre espacios estratificados\u00bb<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 \u00abdescripcion espl\u00edcita de t-estructuras sobre espacios estratificados\u00bb <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Felix Gudiel Rodriguez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/02\/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>Luis Narv\u00e1ez Macarro<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 Luis Vicente c\u00f3rdoba <\/li>\n<li>blas Torrecillas jover (vocal)<\/li>\n<li>Antonio Mart\u00ednez  cegarra (vocal)<\/li>\n<li>pedro Real jurado (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Felix Gudiel Rodriguez En el presente trabajo abordamos la cuesti\u00f3n de la descripci\u00f3n de las categorias de [&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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