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Article

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Accepted version

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2022-12

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/194704

On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants

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https://doi.org/10.1093/imrn/rnab236

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.

Subject

Teoria de Hodge, Geometria algebraica, Homologia

Subject (English)

Hodge theory, Algebraic geometry, Homology

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

FAENZI, Daniele and MARCHESI, Simone. On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants. International Mathematics Research Notices. 2022. Vol. 2022, num. 23, pags. 18589-18631. ISSN 1073-7928. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/194704

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