English

D-affinity and Frobenius morphism on quadrics

Algebraic Geometry 2015-03-24 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.0707.0915,
  title  = {D-affinity and Frobenius morphism on quadrics},
  author = {Adrian Langer},
  journal= {arXiv preprint arXiv:0707.0915},
  year   = {2015}
}

Comments

24 pages; corrected proof of Proposition 2.1

R2 v1 2026-06-21T08:55:44.972Z