Published July 11, 2018
| Version Submitted + Published
Journal Article
Open
Invariant theory of ⋀^3(9) and genus 2 curves
Creators
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.Attached Files
Published - ant-v12-n4-p05-p.pdf
Submitted - 1702.04840.pdf
Files
1702.04840.pdf
Additional details
Identifiers
- Eprint ID
- 81754
- Resolver ID
- CaltechAUTHORS:20170922-135107001
Related works
- Describes
- https://arxiv.org/abs/1702.04840 (URL)
Funding
- Miller Institute for Basic Research in Science
- NSF
- DMS-1500069
Dates
- Created
-
2017-09-22Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department