Rationality of the moduli space of stable pairs over a complex curve

Let X be a smooth complex projective curve of genus g≥2. A pair on X is formed by a vector bundle E→X and a global non-zero section ϕ∈H 0(E). There is a concept of stability for pairs depending on a real parameter τ, giving rise to moduli spaces of τ-stable pairs of rank r and fixed determinant Λ. I...

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Detalles Bibliográficos
Autores: Biswas, Indranil, Logares Jiménez, Marina Lucía, Muñoz Velázquez, Vicente
Tipo de recurso: capítulo de libro
Fecha de publicación:2012
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/45434
Acceso en línea:https://hdl.handle.net/20.500.14352/45434
Access Level:acceso abierto
Palabra clave:512.7
Moduli of pairs
Vortex equation
Rationality
Stable rationality
Geometria algebraica
1201.01 Geometría Algebraica
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spelling Rationality of the moduli space of stable pairs over a complex curveBiswas, IndranilLogares Jiménez, Marina LucíaMuñoz Velázquez, Vicente512.7Moduli of pairsVortex equationRationalityStable rationalityGeometria algebraica1201.01 Geometría AlgebraicaLet X be a smooth complex projective curve of genus g≥2. A pair on X is formed by a vector bundle E→X and a global non-zero section ϕ∈H 0(E). There is a concept of stability for pairs depending on a real parameter τ, giving rise to moduli spaces of τ-stable pairs of rank r and fixed determinant Λ. In this paper, we prove that the moduli spaces are in many cases rational.SpringerPardalos, Panos M.Georgiev, Pando G.Srivastava, Hari M.Universidad Complutense de Madrid20122012-01-0120122012-01-01book parthttp://purl.org/coar/resource_type/c_3248info:eu-repo/semantics/bookPartapplication/pdfhttps://hdl.handle.net/20.500.14352/45434reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/454342026-06-02T12:44:21Z
dc.title.none.fl_str_mv Rationality of the moduli space of stable pairs over a complex curve
title Rationality of the moduli space of stable pairs over a complex curve
spellingShingle Rationality of the moduli space of stable pairs over a complex curve
Biswas, Indranil
512.7
Moduli of pairs
Vortex equation
Rationality
Stable rationality
Geometria algebraica
1201.01 Geometría Algebraica
title_short Rationality of the moduli space of stable pairs over a complex curve
title_full Rationality of the moduli space of stable pairs over a complex curve
title_fullStr Rationality of the moduli space of stable pairs over a complex curve
title_full_unstemmed Rationality of the moduli space of stable pairs over a complex curve
title_sort Rationality of the moduli space of stable pairs over a complex curve
dc.creator.none.fl_str_mv Biswas, Indranil
Logares Jiménez, Marina Lucía
Muñoz Velázquez, Vicente
author Biswas, Indranil
author_facet Biswas, Indranil
Logares Jiménez, Marina Lucía
Muñoz Velázquez, Vicente
author_role author
author2 Logares Jiménez, Marina Lucía
Muñoz Velázquez, Vicente
author2_role author
author
dc.contributor.none.fl_str_mv Pardalos, Panos M.
Georgiev, Pando G.
Srivastava, Hari M.
Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512.7
Moduli of pairs
Vortex equation
Rationality
Stable rationality
Geometria algebraica
1201.01 Geometría Algebraica
topic 512.7
Moduli of pairs
Vortex equation
Rationality
Stable rationality
Geometria algebraica
1201.01 Geometría Algebraica
description Let X be a smooth complex projective curve of genus g≥2. A pair on X is formed by a vector bundle E→X and a global non-zero section ϕ∈H 0(E). There is a concept of stability for pairs depending on a real parameter τ, giving rise to moduli spaces of τ-stable pairs of rank r and fixed determinant Λ. In this paper, we prove that the moduli spaces are in many cases rational.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01
2012
2012-01-01
dc.type.none.fl_str_mv book part
http://purl.org/coar/resource_type/c_3248
dc.type.openaire.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/45434
url https://hdl.handle.net/20.500.14352/45434
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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