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On stability of logarithmic tangent sheaves. Symmetric and generic determinants

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 main application, we prove that determinants and symmetric determinants have stable logarithmic tangent sheaves and we describe an open dense piece of the associated moduli space.
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Dates and versions

hal-03112212 , version 1 (16-01-2021)
hal-03112212 , version 2 (04-08-2021)

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Daniele Faenzi, Simone Marchesi. On stability of logarithmic tangent sheaves. Symmetric and generic determinants. 2021. ⟨hal-03112212v2⟩
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