Tilting exercises

Details Tilting exercises Tilting exercises

2003-01-10

arxiv.org/abs/math/0301098v3

Mathematics

Representation Theory

This final version to appear in Moscow Math Journal differs very slightly from the previous one

Scientific paper

This is an application of the theory of tilting objects to the geometric setting of perverse sheaves. We show that this theory is a natural framework for Beilinson's gluing of perverse sheaves construction. In the special case of Schubert stratification of a flag variety we get a short proof of Soergel's "Struktursatz", and describe (following a conjecture of Kapranov) Serre functor for category O. Some of our results were obtained independently by Rouquier.

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