Cohomology of Spaltenstein varieties

Details Cohomology of Spaltenstein varieties Cohomology of Spaltenstein varieties

2010-12-15

arxiv.org/abs/1012.3426v1

Transform. Groups 16 (2011), 619--648

Mathematics

Representation Theory

28 pages

Scientific paper

10.1007/s00031-011-9149-2

We give a presentation for the cohomology algebra of the Spaltenstein variety
of all partial flags annihilated by a fixed nilpotent matrix, generalizing the
description of the cohomology algebra of the Springer fiber found by De
Concini, Procesi and Tanisaki.

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