{"id":45464,"date":"2019-05-24T23:32:00","date_gmt":"2019-05-24T23:32:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-la-estructura-de-las-singularidades-de-las-superficies-algebroides-sumergidas\/"},"modified":"2019-05-24T23:32:00","modified_gmt":"2019-05-24T23:32:00","slug":"sobre-la-estructura-de-las-singularidades-de-las-superficies-algebroides-sumergidas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-la-estructura-de-las-singularidades-de-las-superficies-algebroides-sumergidas\/","title":{"rendered":"Sobre la estructura de las singularidades de las superficies algebroides sumergidas."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ignacio Luengo Velasco <\/strong><\/h2>\n<p>Esta memoria esta dedicada a estudiar el proceso de resolucion puntual de una superficie algebroide sumergida y su relacion con la estructura de la singularidad en la 1a parte se demuestran unos resultados sobre equisingularidad en codim. 1 que permiten describir el proceso de resolucion de la singularidad mediante un arbol de niveles finitos. En la 2a parte se demuestra que eliminando las transformadas cuadraticas en direcciones tangentes a curvas permitidas se obtiene un subarbol finito. En la 3a parte se demuestra que este subarbol contiene suficiente informacion acerca de la singularidad viendo que cuando existen exponentes caracteristicos (singularidades cuasiordinarias) la igualdad de estos exponentes equivale a la de los subarboles<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre la estructura de las singularidades de las superficies algebroides sumergidas.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre la estructura de las singularidades de las superficies algebroides sumergidas. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ignacio Luengo Velasco <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1979<\/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>Jos\u00e9 Manuel Aroca Hernandez Ros<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Pedro Abellanas Cebollero <\/li>\n<li>Jos\u00e9 Luis Vicente C\u00f3rdoba (vocal)<\/li>\n<li>Javier Etayo Miqueo (vocal)<\/li>\n<li>Jos\u00e9 Manuel Aroca Hernandez Ros (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ignacio Luengo Velasco Esta memoria esta dedicada a estudiar el proceso de resolucion puntual de una superficie [&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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