{"id":88721,"date":"2001-02-02T00:00:00","date_gmt":"2001-02-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/singularidades-de-thom-boardman-en-deformaciones-genericas-de-germenes-de-aplicaciones-y-metodos-para-el-calculo-de-clausuras-integrales-de-ideales\/"},"modified":"2001-02-02T00:00:00","modified_gmt":"2001-02-02T00:00:00","slug":"singularidades-de-thom-boardman-en-deformaciones-genericas-de-germenes-de-aplicaciones-y-metodos-para-el-calculo-de-clausuras-integrales-de-ideales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/singularidades-de-thom-boardman-en-deformaciones-genericas-de-germenes-de-aplicaciones-y-metodos-para-el-calculo-de-clausuras-integrales-de-ideales\/","title":{"rendered":"Singularidades de thom-boardman en deformaciones gen\u00e9ricas de g\u00e9rmenes de aplicaciones y metodos para el calculo de clausuras integrales de ideales."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carles Bivia Ausina <\/strong><\/h2>\n<p>En esta tesis se trata el problema de calcular la multiplicidad de los conjuntos singulares de tipo     i que aparecen en una deformacion generica de un germen de aplicaci\u00f3n anal\u00edtica 7:(cn,o).&#8212;&Gt;(cp,o), generalizando as\u00ed el trabajo de nu\u00f1o-saia sobre singularidades de thom-boardman. Las tecnicas empleadas en este sentido son de algegra conmutativa, en particular, de teoria de la multiplicidad en anillos locales. Si 7  (cn,o)&#8212;-&gt;(cp,o) es una aplicaci\u00f3n analitica y consideramos el s\u00edmbolo de boardman i=(i1,&#8230;&#8230;,Ik), establecemos las nociones de multiplicidad de deformacion mi(7) y multiplicidad algebraica ei(7) de 7 con respecto a i. Se cumple que mi(7)&lt;- ci(7) y la igualdad se satisface si y solo si el esquema de morin en jk7(0)es cohen-macaulay, donde k=(i).  las tecnicas adquiridas en el estudio del problema mencionado anteriormente han permitido estudiar la clausura integral de un ideal en on, que es un concepto significativo en teoria de singularidades. Hemos obtenido un aproximacion al poliedro de newton determinado por los monomios xk pertenecientes a la clausura integral de un ideal cuando este satisface una condicion de no degenericidad que generaliza la que estableci\u00f3 kouchnirenko. Este resultado se aplica a la estimacion de exponentes de lojasiewicz.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Singularidades de thom-boardman en deformaciones gen\u00e9ricas de g\u00e9rmenes de aplicaciones y metodos para el calculo de clausuras integrales de ideales.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Singularidades de thom-boardman en deformaciones gen\u00e9ricas de g\u00e9rmenes de aplicaciones y metodos para el calculo de clausuras integrales de ideales. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carles Bivia Ausina <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Universitat de val\u00e9ncia (estudi general)<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 02\/02\/2001<\/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> Nu\u00f1o Ballesteros Juan  Jose<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Campillo l\u00f3pez <\/li>\n<li>enrique Artal bartolo (vocal)<\/li>\n<li> Soares ruas Mar\u00eda  aparecida (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 Carles Bivia Ausina En esta tesis se trata el problema de calcular la multiplicidad de los conjuntos [&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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