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Vector bundles of degree zero over an elliptic curve

โœ Scribed by Silke Lekaus

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
66 KB
Volume
335
Category
Article
ISSN
1631-073X

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โœฆ Synopsis

In this Note we study indecomposable vector bundles of degree zero over an elliptic curve. We show that each bundle generates a ring and a Tannakian category, such that the ring and the group scheme associated to the Tannakian category are of the same dimension. Furthermore we show that the result does not extend to curves of genus 2.

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