On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants - Archive ouverte HAL
Article Dans Une Revue International Mathematics Research Notices Année : 2022

On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants

Résumé

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.

Dates et versions

hal-03927433 , version 1 (06-01-2023)

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Daniele Faenzi, Simone Marchesi. On Stability of Logarithmic Tangent Sheaves: Symmetric and Generic Determinants. International Mathematics Research Notices, 2022, 2022 (23), pp.18589-18631. ⟨10.1093/imrn/rnab236⟩. ⟨hal-03927433⟩
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