Global Prym-Torelli theorem for double coverings of elliptic curves

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.

arXiv comment20 pages

Cited by in corpus (1)

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