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arXiv · 1312.0445

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

Andrei Bogatyrev
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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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Andrei Bogatyrev. 2013-12-02. Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves. https://doi.org/10.1016/j.jat.2014.12.005

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