The Kupka scheme and unfoldings

Let ω be a differential 1-form defining an algebraic foliation of codimension 1 in projective space. In this article we use commutative algebra to study the singular locus of ω through its ideal of definition. Then, we expose the relation between the ideal defining the Kupka components of the singul...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 2018
Materias:
Foliation
Kupka singularities
Unfoldings
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10936106_v22_n6_p1025_Massri
http://hdl.handle.net/20.500.12110/paper_10936106_v22_n6_p1025_Massri
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10936106_v22_n6_p1025_Massri
record_format dspace
spelling paper:paper_10936106_v22_n6_p1025_Massri2023-06-08T16:06:45Z The Kupka scheme and unfoldings Foliation Kupka singularities Unfoldings Let ω be a differential 1-form defining an algebraic foliation of codimension 1 in projective space. In this article we use commutative algebra to study the singular locus of ω through its ideal of definition. Then, we expose the relation between the ideal defining the Kupka components of the singular set of ω and the first order unfoldings of ω. Exploiting this relation, we show that the set of Kupka points of ω is generically not empty. As an application of these results, we can compute the ideal of first order unfoldings for some known components of the space of foliations. © 2018 International Press. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10936106_v22_n6_p1025_Massri http://hdl.handle.net/20.500.12110/paper_10936106_v22_n6_p1025_Massri
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Foliation
Kupka singularities
Unfoldings
spellingShingle Foliation
Kupka singularities
Unfoldings
The Kupka scheme and unfoldings
topic_facet Foliation
Kupka singularities
Unfoldings
description Let ω be a differential 1-form defining an algebraic foliation of codimension 1 in projective space. In this article we use commutative algebra to study the singular locus of ω through its ideal of definition. Then, we expose the relation between the ideal defining the Kupka components of the singular set of ω and the first order unfoldings of ω. Exploiting this relation, we show that the set of Kupka points of ω is generically not empty. As an application of these results, we can compute the ideal of first order unfoldings for some known components of the space of foliations. © 2018 International Press.
title The Kupka scheme and unfoldings
title_short The Kupka scheme and unfoldings
title_full The Kupka scheme and unfoldings
title_fullStr The Kupka scheme and unfoldings
title_full_unstemmed The Kupka scheme and unfoldings
title_sort kupka scheme and unfoldings
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10936106_v22_n6_p1025_Massri
http://hdl.handle.net/20.500.12110/paper_10936106_v22_n6_p1025_Massri
_version_ 1768545843558744064

Ejemplares similares