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Global Prym-Torelli theorem for double coverings of elliptic curves

Published 19 Dec 2018 in math.AG | (1812.07837v1)

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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