Perverse filtration for generalized Kummer varieties of fibered surfaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916707987095552 |
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| author | Zhang, Zili |
| author_facet | Zhang, Zili |
| contents | Let $A\to C$ be a proper surjective morphism from a smooth connected quasi-projective commutative group scheme of dimension 2 to a smooth curve. The construction of generalized Kummer varieties gives a proper morphism $A^{[[n]]}\to C^{((n))}$. We show that the perverse filtration associated with this morphism is multiplicative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_09587 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Perverse filtration for generalized Kummer varieties of fibered surfaces Zhang, Zili Algebraic Geometry Let $A\to C$ be a proper surjective morphism from a smooth connected quasi-projective commutative group scheme of dimension 2 to a smooth curve. The construction of generalized Kummer varieties gives a proper morphism $A^{[[n]]}\to C^{((n))}$. We show that the perverse filtration associated with this morphism is multiplicative. |
| title | Perverse filtration for generalized Kummer varieties of fibered surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2206.09587 |