3 papers
math.AG2024
Positivity of the cotangent sheaf of singular Calabi-Yau varieties
Cécile Gachet
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, gene…
math.AG2024
Positivity of higher exterior powers of the tangent bundle
Cécile Gachet
We prove that a smooth projective variety of dimension with strictly nef third, fourth or -th exterior power of the tangent bundle is a Fano variety. Moreover, in th…
math.AG2024
Finite quotients of abelian varieties with a Calabi-Yau resolution
Cécile Gachet
Let be an abelian variety, and a finite group acting freely in codimension two. We discuss whether the singular quotient admits a resolution that is a…