Moduli space of principal sheaves over projective varieties

Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a Riemann surface and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to higher dimension, allowing also objects which we call...

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Authors: Sols Lucía, Ignacio, Gómez, Tomás L.
Format: article
Publication Date:2005
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/50519
Online Access:https://hdl.handle.net/20.500.14352/50519
Access Level:Open access
Keyword:512
Compact riemann surface
Unitary vector bundles
Algebraic-curves
Álgebra
1201 Álgebra
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spelling Moduli space of principal sheaves over projective varietiesSols Lucía, IgnacioGómez, Tomás L.512Compact riemann surfaceUnitary vector bundlesAlgebraic-curvesÁlgebra1201 ÁlgebraLet G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a Riemann surface and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to higher dimension, allowing also objects which we call semistable principal G-sheaves, in order to obtain a projective moduli space: a principal G-sheaf on a projective variety X is a triple (P, E, psi), where E is a torsion free sheaf on X, P is a principal G-bundle on the open set U where E is locally free and psi is an isomorphism between E vertical bar(U) and the vector bundle associated to P by the adjoint representation.Princeton UniversityUniversidad Complutense de Madrid20052005-03-0120052005-03-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/50519reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/505192026-06-02T12:44:21Z
dc.title.none.fl_str_mv Moduli space of principal sheaves over projective varieties
title Moduli space of principal sheaves over projective varieties
spellingShingle Moduli space of principal sheaves over projective varieties
Sols Lucía, Ignacio
512
Compact riemann surface
Unitary vector bundles
Algebraic-curves
Álgebra
1201 Álgebra
title_short Moduli space of principal sheaves over projective varieties
title_full Moduli space of principal sheaves over projective varieties
title_fullStr Moduli space of principal sheaves over projective varieties
title_full_unstemmed Moduli space of principal sheaves over projective varieties
title_sort Moduli space of principal sheaves over projective varieties
dc.creator.none.fl_str_mv Sols Lucía, Ignacio
Gómez, Tomás L.
author Sols Lucía, Ignacio
author_facet Sols Lucía, Ignacio
Gómez, Tomás L.
author_role author
author2 Gómez, Tomás L.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512
Compact riemann surface
Unitary vector bundles
Algebraic-curves
Álgebra
1201 Álgebra
topic 512
Compact riemann surface
Unitary vector bundles
Algebraic-curves
Álgebra
1201 Álgebra
description Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a Riemann surface and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to higher dimension, allowing also objects which we call semistable principal G-sheaves, in order to obtain a projective moduli space: a principal G-sheaf on a projective variety X is a triple (P, E, psi), where E is a torsion free sheaf on X, P is a principal G-bundle on the open set U where E is locally free and psi is an isomorphism between E vertical bar(U) and the vector bundle associated to P by the adjoint representation.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-03-01
2005
2005-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/50519
url https://hdl.handle.net/20.500.14352/50519
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 Princeton University
publisher.none.fl_str_mv Princeton University
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 15,300719

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