{"id":57654,"date":"2018-03-09T22:45:27","date_gmt":"2018-03-09T22:45:27","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/effective-algorithms-for-the-study-of-the-topology-of-algebraic-varieties-and-applications\/"},"modified":"2018-03-09T22:45:27","modified_gmt":"2018-03-09T22:45:27","slug":"effective-algorithms-for-the-study-of-the-topology-of-algebraic-varieties-and-applications","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria-algebraica\/effective-algorithms-for-the-study-of-the-topology-of-algebraic-varieties-and-applications\/","title":{"rendered":"Effective algorithms for the study of the topology of algebraic varieties, and applications"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Juan  Gerardo Alc\u00e1zar Arribas <\/strong><\/h2>\n<p>En esta tesis se estudian, desde el punto de vista algor\u00edtmico, tras problemas relacionados con la determinaci\u00f3n de la topolog\u00eda, o de ciertas propiedades topol\u00f3gicas, de tres tipos diferentes de objetos algebraicos: curvas algebraicas espaciales, curvas de nivel de superficies algebraicas, y curvas offset. En el primer caso (curvas algebraicas espaciales.) Se proporciona un algoritmo que produce un grafo homeomorfo a la curva espacial, y que por lo tanto la describe desde el punto de vista topol\u00f3gico. En el segundo caso (curva de nivel), se proporciona un algoritmo para determinar los tipos topol\u00f3gicos que aparecen en la familia de curvas de nivel de una superficie algebraica dada, y se dan aplicaciones de este resultado a: la determinaci\u00f3n del car\u00e1cter real de una superficie, el estudio de su compacidad, y el problema de plotting. Finalmente, en el tercer caso se proporcionan algoritmos para estudiar los tipos topol\u00f3gicos que aparecen en la familia de curvas offset de una curva algebraica dada, as\u00ed como par determinar si el comportamiento topol\u00f3gico de la offset es bueno e un cierto sentido local, que se precisa y estudia con detalle.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Effective algorithms for the study of the topology of algebraic varieties, and applications<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Effective algorithms for the study of the topology of algebraic varieties, and applications <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Juan  Gerardo Alc\u00e1zar Arribas <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Alcal\u00e1<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 23\/03\/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>Juan  Rafael Sendra Pons<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: laureano Gonzalez-vega <\/li>\n<li>sonia Perez diaz (vocal)<\/li>\n<li>josef Schicho (vocal)<\/li>\n<li>Antonio Montes lozano (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Juan Gerardo Alc\u00e1zar Arribas En esta tesis se estudian, desde el punto de vista algor\u00edtmico, tras problemas [&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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