Vector bundles on genus 2 curves and trivectors
Algebraic Geometry
2019-07-30 v2
Abstract
Given a complex curve C of genus 2, there is a well-known relationship between the moduli space of rank 3 semistable bundles on C and a cubic hypersurface known as the Coble cubic. Some of the aspects of this is known to be related to the geometric invariant theory of the third exterior power of a 9-dimensional complex vector space. We extend this relationship to arbitrary fields and study some of the connections to invariant theory, which will be studied more in-depth in a followup paper.
Cite
@article{arxiv.1605.04459,
title = {Vector bundles on genus 2 curves and trivectors},
author = {Eric M. Rains and Steven V Sam},
journal= {arXiv preprint arXiv:1605.04459},
year = {2019}
}
Comments
19 pages