Desingularizations of Schubert varieties in double Grassmannians
Algebraic Geometry
2009-07-03 v3 Representation Theory
Abstract
Let X be the direct product of two Grassmann varieties of k- and l-planes in a finite-dimensional vector space V, and let B be the isotropy group of a complete flag in V. We consider B-orbits in X, which are an analog to Schubert cells in Grassmannians. We describe this set of orbits combinatorially and construct desingularizations for the closures of these orbits, similar to the Bott--Samelson desingularizations for Schubert varieties.
Cite
@article{arxiv.math/0608554,
title = {Desingularizations of Schubert varieties in double Grassmannians},
author = {Evgeny Smirnov},
journal= {arXiv preprint arXiv:math/0608554},
year = {2009}
}
Comments
12 pages; uses youngtab.sty. Version 2: minor editorial changes, final version published in Funct. Anal. Appl