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Desingularizations of Schubert varieties in double Grassmannians

Authors
  • Smirnov, Evgeny
Type
Published Article
Publication Date
Jul 03, 2009
Submission Date
Aug 22, 2006
Identifiers
arXiv ID: math/0608554
Source
arXiv
License
Yellow
External links

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.

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