Invariant theory of $\bigwedge^3(9)$ and genus 2 curves
arXiv:1702.04840 · doi:10.2140/ant.2018.12.935
Abstract
Previous work established a connection between the geometric invariant theory of the third exterior power of a 9-dimensional complex vector space and the moduli space of genus 2 curves with some additional data. We generalize this connection to arbitrary fields, and describe the arithmetic data needed to get a bijection between both sides of this story.
20 pages