Rains, Eric M. and Sam, Steven V. (2016) Vector bundles on genus 2 curves and trivectors. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20170922-135945128
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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.
| Item Type: | Report or Paper (Discussion Paper) | ||||||
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| Additional Information: | SS was partially supported by a Miller research fellowship and NSF DMS-1500069. | ||||||
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| Classification Code: | 2010 Mathematics Subject Classification: 14H60, 15A72 | ||||||
| Record Number: | CaltechAUTHORS:20170922-135945128 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170922-135945128 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 81758 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 22 Sep 2017 21:46 | ||||||
| Last Modified: | 03 Oct 2019 18:46 |
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