Explicit Kummer varieties of hyperelliptic Jacobian threefolds
Algebraic Geometry
2019-02-20 v2 Number Theory
Abstract
We explicitly construct the Kummer variety associated to the Jacobian of a hyperelliptic curve of genus 3 that is defined over a field of characteristic not equal to 2 and has a Weierstra{\ss} point defined over the same field. We also construct homogeneous quartic polynomials on the Kummer variety and show that they represent the duplication map.
Cite
@article{arxiv.1211.6900,
title = {Explicit Kummer varieties of hyperelliptic Jacobian threefolds},
author = {J. Steffen Müller},
journal= {arXiv preprint arXiv:1211.6900},
year = {2019}
}
Comments
13 pages