Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves

Published 2 Dec 2013 in math.CV and math.AG | (1312.0445v1)

Abstract: For the evaluation and inversion of abelian integrals we show that the image of the Abel-Jacobi map of genus less than 5 hyperelliptic curve in its Jacobian is the intersection of shifted theta divisors with specified shifts. Therefore the image is a solution of a (slightly overdetermined) set of equations in the Jacobian.

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Authors (1)

Andrei Bogatyrev

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