Vector bundles on an elliptic curve over a discrete valuation ring

We classify rank 2 vector bundles on a smooth curve X of genus 1 over a discrete valuation ring R. Atiyah [5] classified rank 2 vector bundles on elliptic curves over algebraically closed fields. The fact that a genus 1 curve over a discrete valuation ring has a codimension 2 subscheme prevents us...

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Bibliographic Details
Main Author: Kim, Seog Young
Other Authors: Kim, Minhyong
Language:en_US
Published: The University of Arizona. 2001
Subjects:
Online Access:http://hdl.handle.net/10150/280386