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arXiv · 1605.04459

Vector bundles on genus 2 curves and trivectors

Eric M. Rains·Steven V Sam
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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.

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Eric M. Rains, Steven V Sam. 2018-01-22. Vector bundles on genus 2 curves and trivectors. https://doi.org/10.14231/ag-2019-016

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