Tilting exercises
Representation Theory
2007-05-23 v3 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0301098,
title = {Tilting exercises},
author = {A. Beilinson and R. Bezrukavnikov and I. Mirkovic},
journal= {arXiv preprint arXiv:math/0301098},
year = {2007}
}
Comments
This final version to appear in Moscow Math Journal differs very slightly from the previous one