{"id":63613,"date":"2018-03-09T22:51:32","date_gmt":"2018-03-09T22:51:32","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estabilidad-del-fibrado-universal-restringido-a-congruencias\/"},"modified":"2018-03-09T22:51:32","modified_gmt":"2018-03-09T22:51:32","slug":"estabilidad-del-fibrado-universal-restringido-a-congruencias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estabilidad-del-fibrado-universal-restringido-a-congruencias\/","title":{"rendered":"Estabilidad del fibrado universal restringido a congruencias"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Sof\u00eda Cobo Pablos <\/strong><\/h2>\n<p>Esta tesis se ocupa de contribuir al problema de determinar si, dados dos enteros arbitrarios a y b, existe una congruencia de g(1,3) con bigrado (a.B.). Dolgachev y reider introdujeron un modo de encontrar restricciones para el bigrado de una congruencia s. Consistente en estudiar la semiestabilidad del librado universal cociente sobre g(1,3) restringido a s, q\/s. En concreto, concentraron que si s es una congruencia no degenerada como superficie de p^5, entonces el fibrado q\/s es semiestable. un paso previo al estudio de la estabilidad de un fibrado es el estudio de su simplicidad. En la presente tesis se demuestra que s\u00f3lo hay cuatro tipos de congruencias en la grassmanniana g(1,3) para las que el fibrado universal q restringido no es simple. De aqu\u00ed se deduce en particular que q no es simple si y solo si es escindido. con respecto al problema de la estabilidad, en esta tesis se demuestra un resultado mediante el cual se deducen condiciones geom\u00e9tricas para una congruencia s dependiendo de la pendiente de un subhaz lineal saturado en q\/s. Tambi\u00e9n se comprueba que la conjetura de dolgachev y reider es cierta para las congruencias de grado menor o igual que 10, calculando adem\u00e1s la pendiente m\u00e1xima que alcanzan los subhaces lineales de q\/s para cada congruencia s de grado menor o igual que 9.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estabilidad del fibrado universal restringido a congruencias<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estabilidad del fibrado universal restringido a congruencias <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Sof\u00eda Cobo Pablos <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 26\/03\/2008<\/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>Enrique Arrondo Esteban<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ignacio Sols lucia <\/li>\n<li>alessandro Veirra (vocal)<\/li>\n<li>Francisco Javier Gallego rodrigo (vocal)<\/li>\n<li>cristina Turrini (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sof\u00eda Cobo Pablos Esta tesis se ocupa de contribuir al problema de determinar si, dados dos enteros [&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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