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Elementary counterexamples to Kodaira vanishing in prime characteristic

N. Lauritzen, A. P. Rao

alg-geomarXiv:alg-geom/9604012

Abstract

We give elementary counterexamples to Kodaira vanishing in prime characteristic constructed as the projectivization of Frobenius pull-backs of natural bundles on the incidence variety of points and planes in projective n-space (n>2).

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