Published September 22, 2017
| Submitted
Report
Open
Vector bundles on genus 2 curves and trivectors
- Creators
- Rains, Eric M.
- Sam, Steven V.
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.
Additional Information
SS was partially supported by a Miller research fellowship and NSF DMS-1500069.Attached Files
Submitted - 1605.04459.pdf
Files
1605.04459.pdf
Files
(280.8 kB)
Name | Size | Download all |
---|---|---|
md5:c4873b9838402242c9ce8903262d671a
|
280.8 kB | Preview Download |
Additional details
- Eprint ID
- 81758
- Resolver ID
- CaltechAUTHORS:20170922-135945128
- Miller Institute for Basic Research in Science
- DMS-1500069
- NSF
- Created
-
2017-09-22Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field