On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants

We prove stability of logarithmic tangent sheaves of singular hypersurfaces $D$ of the projective space with constraints on the dimension and degree of the singularities of $D$. As the main application, we prove that determinants and symmetric determinants have simple (in characteristic zero, stable...

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Detalhes bibliográficos
Autores: Faenzi, Daniele, Marchesi, Simone
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/194704
Acesso em linha:https://hdl.handle.net/2445/194704
Access Level:acceso abierto
Palavra-chave:Teoria de Hodge
Geometria algebraica
Homologia
Hodge theory
Algebraic geometry
Homology
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spelling On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic DeterminantsFaenzi, DanieleMarchesi, SimoneTeoria de HodgeGeometria algebraicaHomologiaHodge theoryAlgebraic geometryHomologyWe prove stability of logarithmic tangent sheaves of singular hypersurfaces $D$ of the projective space with constraints on the dimension and degree of the singularities of $D$. As the main application, we prove that determinants and symmetric determinants have simple (in characteristic zero, stable) logarithmic tangent sheaves and we describe an open dense piece of the associated moduli space.Oxford University Press2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/194704Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1093/imrn/rnab236International Mathematics Research Notices, 2022, vol. 2022, num. 23, p. 18589-18631https://doi.org/10.1093/imrn/rnab236(c) Faenzi, Daniele et al., 2022info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1947042026-05-27T06:46:51Z
dc.title.none.fl_str_mv On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
title On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
spellingShingle On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
Faenzi, Daniele
Teoria de Hodge
Geometria algebraica
Homologia
Hodge theory
Algebraic geometry
Homology
title_short On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
title_full On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
title_fullStr On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
title_full_unstemmed On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
title_sort On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
dc.creator.none.fl_str_mv Faenzi, Daniele
Marchesi, Simone
author Faenzi, Daniele
author_facet Faenzi, Daniele
Marchesi, Simone
author_role author
author2 Marchesi, Simone
author2_role author
dc.subject.none.fl_str_mv Teoria de Hodge
Geometria algebraica
Homologia
Hodge theory
Algebraic geometry
Homology
topic Teoria de Hodge
Geometria algebraica
Homologia
Hodge theory
Algebraic geometry
Homology
description We prove stability of logarithmic tangent sheaves of singular hypersurfaces $D$ of the projective space with constraints on the dimension and degree of the singularities of $D$. As the main application, we prove that determinants and symmetric determinants have simple (in characteristic zero, stable) logarithmic tangent sheaves and we describe an open dense piece of the associated moduli space.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/194704
url https://hdl.handle.net/2445/194704
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1093/imrn/rnab236
International Mathematics Research Notices, 2022, vol. 2022, num. 23, p. 18589-18631
https://doi.org/10.1093/imrn/rnab236
dc.rights.none.fl_str_mv (c) Faenzi, Daniele et al., 2022
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Faenzi, Daniele et al., 2022
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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