Prym varieties that are not isomorphic to Jacobian

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Yuri Gennad'evich Zarhin
DOI: 10.48550/arxiv.2601.00445
Cited by: 0

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).

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Advanced Differential Equations and Dynamical Systems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
1 January 2026
Language
EN
Document type
Preprint