Positivity of the cotangent sheaf of singular Calabi-Yau varieties
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866916520830959616 |
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| author | Gachet, Cécile |
| author_facet | Gachet, Cécile |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_10044 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Positivity of the cotangent sheaf of singular Calabi-Yau varieties Gachet, Cécile Algebraic Geometry 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. |
| title | Positivity of the cotangent sheaf of singular Calabi-Yau varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2009.10044 |