The moduli spaces of vector bundles over an algebraic curve
β Scribed by S. Ramanan
- Publisher
- Springer
- Year
- 1973
- Tongue
- English
- Weight
- 702 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0025-5831
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## Abstract Let β³οΈ(__n__ , __d__ ) be a coprime moduli space of stable vector bundles of rank __n__ β₯ 2 and degree __d__ over a complex irreducible smooth projective curve __X__ of genus __g__ β₯ 2 and β³οΈ~__ΞΎ__~ β β³οΈ(__n__ , __d__ ) a fixed determinant moduli space. Assuming that the degree __d__ i
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 d