Note on the linear endomorphisms of a vector bundle
✍ Scribed by Pierre B. A. Lecomte
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 275 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0025-2611
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## Abstract Let ℳ︁(__n__ , __d__ ) be a coprime moduli space of stable vector bundles of rank __n__ ≥ 2 and degree __d__ over a complex irreducible smooth projective curve __X__ of genus __g__ ≥ 2 and ℳ︁~__ξ__~ ⊂ ℳ︁(__n__ , __d__ ) a fixed determinant moduli space. Assuming that the degree __d__ i
Using Thomason and Trobaugh's localization theorem for the K-theory of a scheme, we study the K-theory of the category of vector bundles with endomorphisms over a scheme. The results generalize those of Grayson when the scheme is affine. We also give an example showing that the Mayer᎐Vietoris sequen