English

On stability of logarithmic tangent sheaves. Symmetric and generic determinants

Algebraic Geometry 2021-08-09 v2 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.2101.06946,
  title  = {On stability of logarithmic tangent sheaves. Symmetric and generic determinants},
  author = {Daniele Faenzi and Simone Marchesi},
  journal= {arXiv preprint arXiv:2101.06946},
  year   = {2021}
}

Comments

Major update. To appear in IMRN