Local multiplicativity of perverse filtrations
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912349727752192 |
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| author | Zhang, Zili |
| author_facet | Zhang, Zili |
| contents | Let $f:S\to C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map $S^{[n]}\to C^{(n)}$ is multiplicative on each fiber if and only if $f$ is an elliptic fibration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19439 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local multiplicativity of perverse filtrations Zhang, Zili Algebraic Geometry Let $f:S\to C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map $S^{[n]}\to C^{(n)}$ is multiplicative on each fiber if and only if $f$ is an elliptic fibration. |
| title | Local multiplicativity of perverse filtrations |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2504.19439 |