{"id":41442,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/geometria-de-curvas-racionales-en-grassmannianas\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"geometria-de-curvas-racionales-en-grassmannianas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/geometria-de-curvas-racionales-en-grassmannianas\/","title":{"rendered":"Geometria de curvas racionales en grassmannianas."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Daniel Ortega Rodrigo <\/strong><\/h2>\n<p>En este trabajo se estudia la cohomolog\u00eda del espacio de morfismos, de grado d, de la recta proyectiva en una grassmanniana. Se calculan bases en los grupos de cohomolog\u00eda, h elevado 2k(r(n,r,d),z), r(n,r,d), que es una variedad proyectiva, conexa y lisa, de este espacio de morfismos. Esta compactificaci\u00f3n es el esquema quot, definido por a. grothendieck, que parametriza haces cociente del fibrado trivial de rango n sobre la recta, con rango r y grado d fijados. Los grupos de cohomolog\u00eda impar del esquema quot se anulan, y los pares coinciden con los grupos de chow.  se construyen en esta tesis bases para los grupos correspondientes bases duales de ciclos de dimensi\u00f3n k. Los primeros a partir de condiciones de paso, en momentos determinados ono, de curvas racionales en la grassmanniana, por subvariedades de schubert especiales en la misma. Los segundos, tienen una definici\u00f3n que permite considerar, asociadas a ellos, subvariedades lineales en la grassmanniana. De esta manera se reduce el c\u00e1lculo de los n\u00fameros de intersecci\u00f3n de los correspondientes ciclos en el esquema de quot, al de n\u00fameros de intersecci\u00f3n para los ciclos asociados a ambos tipos de subvariedades en la grassmanniana.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Geometria de curvas racionales en grassmannianas.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Geometria de curvas racionales en grassmannianas. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Daniel Ortega Rodrigo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1999<\/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>Rafael Hernandez Garcia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ignacio Sols lucia <\/li>\n<li>enrique Arrondo esteban (vocal)<\/li>\n<li> Navarro gonzalez Juan  Antonio (vocal)<\/li>\n<li>f. Javier Finat codes (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Daniel Ortega Rodrigo En este trabajo se estudia la cohomolog\u00eda del espacio de morfismos, de grado d, [&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":[583,126],"tags":[104996,64393,90409,9618,88154,88153],"class_list":["post-41442","post","type-post","status-publish","format-standard","hentry","category-geometria","category-matematicas","tag-daniel-ortega-rodrigo","tag-enrique-arrondo-esteban","tag-f-javier-finat-codes","tag-ignacio-sols-lucia","tag-navarro-gonzalez-juan-antonio","tag-rafael-hernandez-garcia"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/41442","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=41442"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/41442\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=41442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=41442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=41442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}