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Algebraic loop groups and moduli spaces of bundles

✍ Scribed by Gerd Faltings


Publisher
European Mathematical Society
Year
2003
Tongue
English
Weight
399 KB
Volume
5
Category
Article
ISSN
1435-9855

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## Abstract We study coherent sheaves __E__ on a smooth projective curve __X__ which are minimal with respect to the property that __h__^0^(__E__βŠ—__L__) > 0 for all line bundles __L__ of degree zero on __X__. We show that these sheaves define ample divisors __D__(__E__) on the Picard torus Pic^0^(_