D-affinity and Frobenius morphism on quadrics

Mathematics – Algebraic Geometry

Scientific paper

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24 pages; corrected proof of Proposition 2.1

Scientific paper

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.

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