Invariant theory of bigwedge³(9) and genus 2 curves
classification
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connectioncurvesdatagenusinvariantspacetheoryadditional
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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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