D-affinity and Frobenius morphism on quadrics
arXiv:0707.0915
Abstract
We compute decomposition of Frobenius push-forwards of line bundles on quadrics into a direct sum of line bundles and spinor bundles. As an application we show when the Frobenius push-forward gives a tilting bundle and we apply it to study D-modules on quadrics.
24 pages; corrected proof of Proposition 2.1