Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves
arXiv:1312.0445 · doi:10.1016/j.jat.2014.12.005
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.
7 pages, 1 fig