Optimality of the Prym-Tyurin construction for $\mathcal{A}_6$
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915654030852096 |
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| author | Engel, Philip Fortman, Olivier de Gaay Schreieder, Stefan |
| author_facet | Engel, Philip Fortman, Olivier de Gaay Schreieder, Stefan |
| contents | We prove that on a very general principally polarized abelian 6-fold, the smallest multiple of the minimal curve class which can be represented by an algebraic cycle is 6. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimality of the Prym-Tyurin construction for $\mathcal{A}_6$ Engel, Philip Fortman, Olivier de Gaay Schreieder, Stefan Algebraic Geometry Combinatorics Primary 4K10, 05C25, 14C25, Secondary 14H40, 05B35, 14C30 We prove that on a very general principally polarized abelian 6-fold, the smallest multiple of the minimal curve class which can be represented by an algebraic cycle is 6. |
| title | Optimality of the Prym-Tyurin construction for $\mathcal{A}_6$ |
| topic | Algebraic Geometry Combinatorics Primary 4K10, 05C25, 14C25, Secondary 14H40, 05B35, 14C30 |
| url | https://arxiv.org/abs/2512.04902 |