Some equations for the universal Kummer variety
Algebraic Geometry
2013-07-18 v2
Abstract
We give a method to find quartic Heisenberg invariant equations for Kummer varieties and we give some explicit examples. From these equations for g-dimensional Kummer varieties one obtains equations for the moduli space of g+1-dimensional Kummer varieties. These again define modular forms which vanish on the period matrices of Riemann surfaces. The modular forms that we find for g=5 appear to be new and of lower weight than known before.
Cite
@article{arxiv.1307.2463,
title = {Some equations for the universal Kummer variety},
author = {Bert van Geemen},
journal= {arXiv preprint arXiv:1307.2463},
year = {2013}
}
Comments
This new version also gives non-Heisenberg invariant quartic equations for Kummer varieties