{"id":63144,"date":"2018-03-09T22:51:06","date_gmt":"2018-03-09T22:51:06","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/combinatorial-koszul-homology-computations-and-applications\/"},"modified":"2018-03-09T22:51:06","modified_gmt":"2018-03-09T22:51:06","slug":"combinatorial-koszul-homology-computations-and-applications","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/geometria-algebraica\/combinatorial-koszul-homology-computations-and-applications\/","title":{"rendered":"Combinatorial koszul homology: computations and applications"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Eduardo Saenz De Cabezon Irigaray <\/strong><\/h2>\n<p>Esta tesis ha estado centrada en c\u00e1lculos expl\u00edcitos y aplicaciones de la homolog\u00eda de koszul y los n\u00fameros de betti (multigraduados) de ideales monomiales. Con este inter\u00e9s presente, los objetivos principales son: -analizar la homolog\u00eda de koszul de ideales monomiales y aplicarla a la descripci\u00f3n de la estructura de dichos ideales. Se dan algoritmos que permiten obtener descomposiciones irreducibles, primarias, etc.. De ideales de monomios a partir de su homolog\u00eda de koszul. &#8211; describir algoritmos para realizar c\u00e1lculos eficaces de los invariantes homol\u00f3gicos de ideales de monomios, en particular sus n\u00fameros de betti, resoluciones libres, homolog\u00eda de koszul y series de hilbert. En este sentido se introducen los \u00e1rboles de mayer vietoris como una herramienta nueva para el an\u00e1lisis de ideales monomiales y que son base de algoritmos eficientes para estos c\u00e1lculos. &#8211; aplicar la teor\u00eda de ideales monomiales a problemas dentro y fuera de las matem\u00e1ticas, haciendo uso, en particular, de los invariantes homol\u00f3gicos de estos ideales. En la tesis se aplican nuestras t\u00e9cnicas a familias de ideales con aplicaciones en \u00e1lgebra conmutativa y otras disciplinas, a la teor\u00eda formal de sistemas diferenciales y a la teor\u00eda de fiabilidad, en la que se obtienen interesantes resultados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Combinatorial koszul homology: computations and applications<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Combinatorial koszul homology: computations and applications <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Eduardo Saenz De Cabezon Irigaray <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rioja<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 27\/02\/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>Luis Javier Hernandez Paricio<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: henry Wynn <\/li>\n<li>Mar\u00eda  isabel Bermejo diaz (vocal)<\/li>\n<li>graham Ellis (vocal)<\/li>\n<li>anna m. Bigatti (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Eduardo Saenz De Cabezon Irigaray Esta tesis ha estado centrada en c\u00e1lculos expl\u00edcitos y aplicaciones 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 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":[5301,28669,13880,10522,18890],"tags":[139430,139426,139429,139427,28671,139428],"class_list":["post-63144","post","type-post","status-publish","format-standard","hentry","category-geometria-algebraica","category-homologia","category-informatica","category-polinomios","category-rioja","tag-anna-m-bigatti","tag-eduardo-saenz-de-cabezon-irigaray","tag-graham-ellis","tag-henry-wynn","tag-luis-javier-hernandez-paricio","tag-maria-isabel-bermejo-diaz"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/63144","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=63144"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/63144\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=63144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=63144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=63144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}