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Published July 11, 2018 | Submitted + Published
Journal Article Open

Invariant theory of ⋀^3(9) and genus 2 curves

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.

Additional Information

© 2018 Mathematical Sciences Publishers. Received: 22 February 2017; Revised: 30 October 2017; Accepted: 16 November 2017; Published: 11 July 2018. SS was partially supported by a Miller research fellowship and NSF DMS-1500069.

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Published - ant-v12-n4-p05-p.pdf

Submitted - 1702.04840.pdf

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August 19, 2023
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