On the rationality of SU(r,d)

1997/05/07 by David C. Butler, Butler, David C.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9705008

24 pages, AMS-TeX, corrected proof of Proposition 3

arxiv created 1997/05/20 · arxiv updated 2009/11/30

Abstract

Let SU(r,d) be the moduli space of rank r, degree d vector bundles over a smooth projective curve of genus g≥ 2. If (r,d)=1 and d divides r+1, then SU is rational. Furthermore, if 0<δ< r and all prime divisors of δ divide r, and if d divides r-δ, then SU is rational. The proof is a variation on a result of Newstead and modifications due to Ballico and then Boden and Yokogawa.

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