Foliations by curves uniquely determined by minimal subschemes of its singularities

Producción Científica

Detalhes bibliográficos
Autores: Campillo López, Antonio, Olivares, Jorge
Tipo de documento: artigo
Data de publicação:2018
País:España
Recursos:Universidad de Valladolid
Repositório:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/36080
Acesso em linha:https://doi.org/10.5427/jsing.2018.18g
http://uvadoc.uva.es/handle/10324/36080
Access Level:Acceso aberto
Palavra-chave:Foliations by curves
Foliaciones por curvas
Singular points
Puntos singulares
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oai_identifier_str oai:uvadoc.uva.es:10324/36080
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spelling Foliations by curves uniquely determined by minimal subschemes of its singularities Campillo López, Antonio Olivares, Jorge Foliations by curves Foliaciones por curvas Singular points Puntos singulares Producción Científica It is well-known that a foliation by curves of degree greater than or equal to two, with isolated singularities, in the complex projective space of dimension greater than or equal to two, is uniquely determined by the scheme of its singular points. The main result in this paper is that the set of foliations which are uniquely determined by a subscheme (of the minimal possible degree) of its singular points, contains a nonempty Zariski-open subset. Our results hold in the projective space defined over any algebraically closed ground field. Worldwide Center of Mathematics LLC https://doi.org/10.5427/jsing.2018.18g http://uvadoc.uva.es/handle/10324/36080
title Foliations by curves uniquely determined by minimal subschemes of its singularities
spellingShingle Foliations by curves uniquely determined by minimal subschemes of its singularities
Campillo López, Antonio
Foliations by curves
Foliaciones por curvas
Singular points
Puntos singulares
title_short Foliations by curves uniquely determined by minimal subschemes of its singularities
title_full Foliations by curves uniquely determined by minimal subschemes of its singularities
title_fullStr Foliations by curves uniquely determined by minimal subschemes of its singularities
title_full_unstemmed Foliations by curves uniquely determined by minimal subschemes of its singularities
title_sort Foliations by curves uniquely determined by minimal subschemes of its singularities
author Campillo López, Antonio
author_facet Campillo López, Antonio
Olivares, Jorge
author_role author
author2 Olivares, Jorge
author2_role author
topic Foliations by curves
Foliaciones por curvas
Singular points
Puntos singulares
topic_facet Foliations by curves
Foliaciones por curvas
Singular points
Puntos singulares
description Producción Científica
publishDate 2018
format article
url https://doi.org/10.5427/jsing.2018.18g
http://uvadoc.uva.es/handle/10324/36080
eu_rights_str_mv openAccess
publisher Worldwide Center of Mathematics LLC
institution Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname_str Universidad de Valladolid
_version_ 1878439990773415936
publishDateSort 2018
author_browse Campillo López, Antonio
Olivares, Jorge
publisherStr Worldwide Center of Mathematics LLC
score 6,924472