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A criterion for the splitting of a principal bundle over a projective space

✍ Scribed by Indranil Biswas

Publisher: Springer
Year: 2005
Tongue: English
Weight: 93 KB
Volume: 84
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s00013-004-1192-y

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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