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arXiv · 2009.10044

Positivity of the cotangent sheaf of singular Calabi-Yau varieties

Cécile Gachet
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Abstract

We prove that the tangent and the reflexivized cotangent sheaves of any normal projective klt Calabi-Yau or irreducible holomorphic symplectic variety are not pseudoeffective, generalizing results of A. H\"oring and T. Peternell arXiv:1710.06183v2 [math.AG]. We provide examples of Calabi-Yau varieties of small dimension with singularities in codimension 2.

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Cécile Gachet. 2020-09-21. Positivity of the cotangent sheaf of singular Calabi-Yau varieties. https://arxiv.org/abs/2009.10044

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