On the rationality of SU(r,d)
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.