{"id":60010,"date":"2018-03-09T22:47:49","date_gmt":"2018-03-09T22:47:49","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/dos-herramientas-en-geometria-algebraica-construccion-de-configuraciones-en-geometria-tropical-e-hiperca%c2%adrculos-para-la-simplificacion-de-curvas-parametricas\/"},"modified":"2018-03-09T22:47:49","modified_gmt":"2018-03-09T22:47:49","slug":"dos-herramientas-en-geometria-algebraica-construccion-de-configuraciones-en-geometria-tropical-e-hiperca%c2%adrculos-para-la-simplificacion-de-curvas-parametricas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria\/dos-herramientas-en-geometria-algebraica-construccion-de-configuraciones-en-geometria-tropical-e-hiperca%c2%adrculos-para-la-simplificacion-de-curvas-parametricas\/","title":{"rendered":"Dos herramientas en geometr\u00eda algebraica: construcci\u00f3n de configuraciones en geometr\u00eda tropical e hiperc\u00edrculos para la simplificaci\u00f3n de curvas param\u00e9tricas"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Tabera Alonso Luis Felipe <\/strong><\/h2>\n<p>Estudiamos dos problemas en geometr\u00eda algebraica: el primero es la comparaci\u00f3n de la geometr\u00eda algebraica y tr\u00f3pica. En particular, comparamos las configuraciones de incidencia, la regla de cramer y la naci\u00f3n de resultante.  presentamos la noci\u00f3n de construcci\u00f3n geom\u00e9trica y traducimos, bajo ciertas condiciones, diversos teoremas cl\u00e1sicos de incidencia en el contexto tropical, como el teorema de pappus, de fano, rec\u00edproco de pascal, chasles o cayley-bacharach.  la segunda parte de la tesis trata de las curvas hiperc\u00edrculos. Esas curvas fueron introducidas por andradas, recio y sendra y se utilizan en el problema de las reparametrizaciones de curvas algebraicas con coeficientes algebraicamente \u00f3ptimos a partir de una parametrizaci\u00f3n no \u00f3ptima dada. Estudiamos la variedad de weil en el caso param\u00e9trico, la geometr\u00eda de los hiperc\u00edrculos y damos un m\u00e9todo de reparametrizaci\u00f3n \u00f3ptimo para el caso de reparametrizaciones afines.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Dos herramientas en geometr\u00eda algebraica: construcci\u00f3n de configuraciones en geometr\u00eda tropical e hiperc\u00edrculos para la simplificaci\u00f3n de curvas param\u00e9tricas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Dos herramientas en geometr\u00eda algebraica: construcci\u00f3n de configuraciones en geometr\u00eda tropical e hiperc\u00edrculos para la simplificaci\u00f3n de curvas param\u00e9tricas <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Tabera Alonso Luis Felipe <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Cantabria<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/07\/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>Tomas Recio Mu\u00f1iz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jean-jaques Risler <\/li>\n<li>Fran\u00ed\u00a7oise Roy Marie (vocal)<\/li>\n<li>Michel Coste (vocal)<\/li>\n<li>Juan  Rafael Sendra Pons (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Tabera Alonso Luis Felipe Estudiamos dos problemas en geometr\u00eda algebraica: el primero es la comparaci\u00f3n de la [&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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