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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnm145, 26 pages, doi:10.1093/imrn/rnm145 published on February 5, 2008
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Copyright © The Author 2008. Published by Oxford University Press.

D-affinity and Frobenius Morphism on Quadrics

Adrian Langer

Institute of Mathematics, Warsaw University, Ul. Banacha 2, PL-02-097 Warszawa, Poland

Correspondence: Correspondence to be sent to: alan{at}mimuw.edu.pl

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.

Communicated by Prof. Dragos Oprea


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