{"id":136516,"date":"2026-01-12T16:58:00","date_gmt":"2026-01-12T16:58:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/resolucion-sumergida-de-foliaciones-sobre-el-plano-proyectivo-complejo\/"},"modified":"2026-01-12T16:58:00","modified_gmt":"2026-01-12T16:58:00","slug":"resolucion-sumergida-de-foliaciones-sobre-el-plano-proyectivo-complejo","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/resolucion-sumergida-de-foliaciones-sobre-el-plano-proyectivo-complejo\/","title":{"rendered":"Resolucion sumergida de foliaciones sobre el plano proyectivo complejo."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Carnicer Arribas Manuel M. <\/strong><\/h2>\n<p>En la primera parte del trabajo se estudia, dado un haz de modulos localmente libre de rango n sobre un esquema integro, noetheriano y localmente factorial, la relacion entre submodulos de rango r de dicho haz, submodulos de rango n-r de su dual y submodulos inversibles de su r-esima potencia exterior se aplican estos resultados al haz de formas sobre una variedad algebraica no singular para, a\u00f1adiendo la condicion de integrabilidad, obtener el concepto de foliacion singular. A partir de aqui se definen y estudian los conceptos de separatriz e integral primera de una foliacion singular sobre el plano proyectivo complejo puede transformarse, mediante la composicion de un numero finito de transformaciones de cremona, en otra foliacion (tambien definida sobre el plano proyectivo complejo) cuyas singularidades son o bien simples (en el sentido de seindenberg) o bien aceptables (contraccion de una curva lisa cuyas tangencias con las separatrices de la foliacion no son multiples).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Resolucion sumergida de foliaciones sobre el plano proyectivo complejo.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Resolucion sumergida de foliaciones sobre el plano proyectivo complejo. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Carnicer Arribas Manuel M. <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/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:  Etayo Miqueo Jos\u00e9 Javier <\/li>\n<li>Antonio Campillo L\u00f3pez (vocal)<\/li>\n<li>Jos\u00e9 Luis Vicente C\u00f3rdoba (vocal)<\/li>\n<li>Ignacio Luengo Velasco (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carnicer Arribas Manuel M. En la primera parte del trabajo se estudia, dado un haz de modulos [&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":[2809,5301,126,12451],"tags":[9617,250947,108388,5304,3752,12587],"class_list":["post-136516","post","type-post","status-publish","format-standard","hentry","category-algebra","category-geometria-algebraica","category-matematicas","category-valladolid","tag-antonio-campillo-lopez","tag-carnicer-arribas-manuel-m","tag-etayo-miqueo-jose-javier","tag-ignacio-luengo-velasco","tag-jose-luis-vicente-cordoba","tag-jose-manuel-aroca-hernandez-ros"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/136516","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=136516"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/136516\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=136516"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=136516"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=136516"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}