Explicit Kummer varieties of hyperelliptic Jacobian threefolds
arXiv:1211.6900 · doi:10.1112/S1461157014000126
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 Weierstraß point defined over the same field. We also construct homogeneous quartic polynomials on the Kummer variety and show that they represent the duplication map.
13 pages