Autoduality of compactified Pryms for étale double covers of curves with planar singularities
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917543071973376 |
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| author | Yu, Huishi |
| author_facet | Yu, Huishi |
| contents | We construct a Poincaré sheaf on the compactified Prym variety associated with an étale double cover of integral curves with planar singularities, and prove that the associated Fourier-Mukai transform is an autoequivalence of its derived category. As an application, we prove the motivic decomposition conjecture of Corti-Hanamura for the Laza-Saccà-Voisin fibration, and construct a multiplicative motivic perverse filtration lifting the cohomological one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29432 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Autoduality of compactified Pryms for étale double covers of curves with planar singularities Yu, Huishi Algebraic Geometry We construct a Poincaré sheaf on the compactified Prym variety associated with an étale double cover of integral curves with planar singularities, and prove that the associated Fourier-Mukai transform is an autoequivalence of its derived category. As an application, we prove the motivic decomposition conjecture of Corti-Hanamura for the Laza-Saccà-Voisin fibration, and construct a multiplicative motivic perverse filtration lifting the cohomological one. |
| title | Autoduality of compactified Pryms for étale double covers of curves with planar singularities |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.29432 |