论文标题

奇异的calabi-yau品种的呈阳性的阳性

Positivity of the cotangent sheaf of singular Calabi-Yau varieties

论文作者

Gachet, Cécile

论文摘要

我们证明,任何正常投射Klt klt calabi-yau或不可减至的全态象征性品种的切线和反射性的旋转或骨都不是伪造的,它概括了A.Höring和T. Peternell Arxiv:1710.06183v2 [Math.ag]。我们提供了小尺寸的Calabi-yau品种,在编码2中具有奇异性。

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 arXiv:1710.06183v2 [math.AG]. We provide examples of Calabi-Yau varieties of small dimension with singularities in codimension 2.

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