Prym varieties that are not isomorphic to Jacobian
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913157592645632 |
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| author | Zarhin, Yuri G. |
| author_facet | Zarhin, Yuri G. |
| contents | We study Prym varieties of ramified (at precisely two points) double covers of smooth irreducible complex projectives curves that admit an automorphism of prime order $p>2$. Using Galois theory, we give an explicit constructions of Prym varieties that are not isomorphic to jacobians (even if one ignores the polarizations). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00445 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Prym varieties that are not isomorphic to Jacobian Zarhin, Yuri G. Algebraic Geometry Number Theory 14J45, 14K30 We study Prym varieties of ramified (at precisely two points) double covers of smooth irreducible complex projectives curves that admit an automorphism of prime order $p>2$. Using Galois theory, we give an explicit constructions of Prym varieties that are not isomorphic to jacobians (even if one ignores the polarizations). |
| title | Prym varieties that are not isomorphic to Jacobian |
| topic | Algebraic Geometry Number Theory 14J45, 14K30 |
| url | https://arxiv.org/abs/2601.00445 |