Article contents
Explicit Kummer varieties of hyperelliptic Jacobian threefolds
Published online by Cambridge University Press: 01 September 2014
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 rational 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 using results of Stoll.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author 2014
References
- 3
- Cited by