Rational pullbacks of toric foliations
- Autores
- Gargiulo Acea, Javier Nicolás; Molinuevo, Ariel; Velazquez, Sebastián
- Año de publicación
- 2023
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This article is dedicated to the study of singular codimension-one foliations ℱ on a simplicial complete toric variety X and their pullbacks by dominant rational maps :ℙ⇢ . First, we describe the singularities of ℱ and *ℱ for a generic pair (,ℱ) . Then we show that the first-order deformations of *ℱ arising from first-order unfoldings are the families of the form *ℱ , where is a perturbation of φ. We also prove that the deformations of the form *ℱ consist exactly of the families which are tangent to the fibers of φ. In order to do so, we state some results of independent interest regarding the Kupka singularities of these foliations.
Fil: Gargiulo Acea, Javier Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidade Federal Fluminense; Brasil
Fil: Molinuevo, Ariel. Universidade Federal do Rio de Janeiro; Brasil
Fil: Velazquez, Sebastián. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil - Materia
-
TORIC VARIETIES
SINGULAR FOLIATIONS
MODULI SPACES
RATIONAL PULLBACKS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
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- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/283367
Ver los metadatos del registro completo
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Rational pullbacks of toric foliationsGargiulo Acea, Javier NicolásMolinuevo, ArielVelazquez, SebastiánTORIC VARIETIESSINGULAR FOLIATIONSMODULI SPACESRATIONAL PULLBACKShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This article is dedicated to the study of singular codimension-one foliations ℱ on a simplicial complete toric variety X and their pullbacks by dominant rational maps :ℙ⇢ . First, we describe the singularities of ℱ and *ℱ for a generic pair (,ℱ) . Then we show that the first-order deformations of *ℱ arising from first-order unfoldings are the families of the form *ℱ , where is a perturbation of φ. We also prove that the deformations of the form *ℱ consist exactly of the families which are tangent to the fibers of φ. In order to do so, we state some results of independent interest regarding the Kupka singularities of these foliations.Fil: Gargiulo Acea, Javier Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidade Federal Fluminense; BrasilFil: Molinuevo, Ariel. Universidade Federal do Rio de Janeiro; BrasilFil: Velazquez, Sebastián. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; BrasilDe Gruyter2023-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/283367Gargiulo Acea, Javier Nicolás; Molinuevo, Ariel; Velazquez, Sebastián; Rational pullbacks of toric foliations; De Gruyter; Forum Mathematicum; 35; 3; 2-2023; 1-240933-7741CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1515/forum-2022-0265info:eu-repo/semantics/altIdentifier/url/https://www.degruyterbrill.com/document/doi/10.1515/forum-2022-0265/htmlinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2007.08495info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-06-17T09:39:44Zoai:ri.conicet.gov.ar:11336/283367instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-06-17 09:39:44.699CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Rational pullbacks of toric foliations |
| title |
Rational pullbacks of toric foliations |
| spellingShingle |
Rational pullbacks of toric foliations Gargiulo Acea, Javier Nicolás TORIC VARIETIES SINGULAR FOLIATIONS MODULI SPACES RATIONAL PULLBACKS |
| title_short |
Rational pullbacks of toric foliations |
| title_full |
Rational pullbacks of toric foliations |
| title_fullStr |
Rational pullbacks of toric foliations |
| title_full_unstemmed |
Rational pullbacks of toric foliations |
| title_sort |
Rational pullbacks of toric foliations |
| dc.creator.none.fl_str_mv |
Gargiulo Acea, Javier Nicolás Molinuevo, Ariel Velazquez, Sebastián |
| author |
Gargiulo Acea, Javier Nicolás |
| author_facet |
Gargiulo Acea, Javier Nicolás Molinuevo, Ariel Velazquez, Sebastián |
| author_role |
author |
| author2 |
Molinuevo, Ariel Velazquez, Sebastián |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
TORIC VARIETIES SINGULAR FOLIATIONS MODULI SPACES RATIONAL PULLBACKS |
| topic |
TORIC VARIETIES SINGULAR FOLIATIONS MODULI SPACES RATIONAL PULLBACKS |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
This article is dedicated to the study of singular codimension-one foliations ℱ on a simplicial complete toric variety X and their pullbacks by dominant rational maps :ℙ⇢ . First, we describe the singularities of ℱ and *ℱ for a generic pair (,ℱ) . Then we show that the first-order deformations of *ℱ arising from first-order unfoldings are the families of the form *ℱ , where is a perturbation of φ. We also prove that the deformations of the form *ℱ consist exactly of the families which are tangent to the fibers of φ. In order to do so, we state some results of independent interest regarding the Kupka singularities of these foliations. Fil: Gargiulo Acea, Javier Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidade Federal Fluminense; Brasil Fil: Molinuevo, Ariel. Universidade Federal do Rio de Janeiro; Brasil Fil: Velazquez, Sebastián. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil |
| description |
This article is dedicated to the study of singular codimension-one foliations ℱ on a simplicial complete toric variety X and their pullbacks by dominant rational maps :ℙ⇢ . First, we describe the singularities of ℱ and *ℱ for a generic pair (,ℱ) . Then we show that the first-order deformations of *ℱ arising from first-order unfoldings are the families of the form *ℱ , where is a perturbation of φ. We also prove that the deformations of the form *ℱ consist exactly of the families which are tangent to the fibers of φ. In order to do so, we state some results of independent interest regarding the Kupka singularities of these foliations. |
| publishDate |
2023 |
| dc.date.none.fl_str_mv |
2023-02 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/283367 Gargiulo Acea, Javier Nicolás; Molinuevo, Ariel; Velazquez, Sebastián; Rational pullbacks of toric foliations; De Gruyter; Forum Mathematicum; 35; 3; 2-2023; 1-24 0933-7741 CONICET Digital CONICET |
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http://hdl.handle.net/11336/283367 |
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Gargiulo Acea, Javier Nicolás; Molinuevo, Ariel; Velazquez, Sebastián; Rational pullbacks of toric foliations; De Gruyter; Forum Mathematicum; 35; 3; 2-2023; 1-24 0933-7741 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
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eng |
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