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Mathematical Research Letters
Volume 29 (2022)
Number 2
Positivity of the cotangent sheaf of singular Calabi–Yau varieties
Pages: 339 – 372
DOI: https://dx.doi.org/10.4310/MRL.2022.v29.n2.a2
Author
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. Höring and T. Peternell [21]. We provide examples of Calabi-Yau varieties of small dimension with singularities in codimension 2.
Received 27 November 2020
Accepted 23 February 2021
Published 29 September 2022