Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves
Complex Variables
2017-11-23 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1312.0445,
title = {Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves},
author = {Andrei Bogatyrev},
journal= {arXiv preprint arXiv:1312.0445},
year = {2017}
}
Comments
7 pages, 1 fig