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Vector bundles on genus 2 curves and trivectors

Rains, Eric M. and Sam, Steven V. (2016) Vector bundles on genus 2 curves and trivectors. . (Submitted) http://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)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1605.04459arXivDiscussion Paper
Additional Information:SS was partially supported by a Miller research fellowship and NSF DMS-1500069.
Funders:
Funding AgencyGrant Number
Miller Institute for Basic Research in ScienceUNSPECIFIED
NSFDMS-1500069
Classification Code:2010 Mathematics Subject Classification: 14H60, 15A72
Record Number:CaltechAUTHORS:20170922-135945128
Persistent URL:http://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:22 Sep 2017 21:46

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