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arXiv · 2601.00445

Prym varieties that are not isomorphic to Jacobian

Yuri G. Zarhin
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Abstract

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).

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Yuri G. Zarhin. 2026-01-01. Prym varieties that are not isomorphic to Jacobian. https://arxiv.org/abs/2601.00445

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