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arXiv · 1812.07837

Global Prym-Torelli theorem for double coverings of elliptic curves

Atsushi Ikeda
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Abstract

The Prym variety for a branched double covering of a nonsingular projective curve is defined as a polarized abelian variety. We prove that any double covering of an elliptic curve which has more than $4$ branch points is recovered from its Prym variety.

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Atsushi Ikeda. 2018-12-19. Global Prym-Torelli theorem for double coverings of elliptic curves. https://arxiv.org/abs/1812.07837

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