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arXiv · 1702.04840

Invariant theory of $\bigwedge^3(9)$ and genus 2 curves

Eric M. Rains·Steven V Sam
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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.

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Eric M. Rains, Steven V Sam. 2018-01-22. Invariant theory of $\bigwedge^3(9)$ and genus 2 curves. https://doi.org/10.2140/ant.2018.12.935

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