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Tilting Exercises, A Beilinson, R Bezrukavnikov, I Mirkovic
Tilting Exercises, A Beilinson, R Bezrukavnikov, I Mirkovic
Mathematics and Statistics Department Faculty Publication Series
We discuss tilting objects in categories of perverse sheaves smooth along some stratification. In case of the Schubert stratification we show that the Radon transform interchanges tilting, projective, and injective objects, and prove Kapranov's conjecture on the Serre functor.