Lefschetz Defect in Families
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917895226785792 |
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| author | Verni, Matteo |
| author_facet | Verni, Matteo |
| contents | We provide a cohomological characterization of the Lefschetz defect of smooth complex projective varieties. As a consequence, we deduce that the Lefschetz defect of a smooth Fano variety is invariant under smooth deformation. We also characterize the Lefschetz defect of an abelian variety in terms of its isogeny factors, and study it in families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10192 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lefschetz Defect in Families Verni, Matteo Algebraic Geometry 14C20, 14C30, 14J45, 14K12 We provide a cohomological characterization of the Lefschetz defect of smooth complex projective varieties. As a consequence, we deduce that the Lefschetz defect of a smooth Fano variety is invariant under smooth deformation. We also characterize the Lefschetz defect of an abelian variety in terms of its isogeny factors, and study it in families. |
| title | Lefschetz Defect in Families |
| topic | Algebraic Geometry 14C20, 14C30, 14J45, 14K12 |
| url | https://arxiv.org/abs/2501.10192 |