On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants

dc.contributor.author
Faenzi, Daniele
dc.contributor.author
Marchesi, Simone
dc.date.issued
2023-03-06T11:35:26Z
dc.date.issued
2023-12-31T06:10:22Z
dc.date.issued
2022-12
dc.date.issued
2023-03-06T11:35:26Z
dc.identifier
1073-7928
dc.identifier
https://hdl.handle.net/2445/194704
dc.identifier
714936
dc.description.abstract
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.
dc.format
43 p.
dc.format
application/pdf
dc.language
eng
dc.publisher
Oxford University Press
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1093/imrn/rnab236
dc.relation
International Mathematics Research Notices, 2022, vol. 2022, num. 23, p. 18589-18631
dc.relation
https://doi.org/10.1093/imrn/rnab236
dc.rights
(c) Faenzi, Daniele et al., 2022
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Teoria de Hodge
dc.subject
Geometria algebraica
dc.subject
Homologia
dc.subject
Hodge theory
dc.subject
Algebraic geometry
dc.subject
Homology
dc.title
On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


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