arXiv:math/0608554 Abstract

arXiv:math/0608554 [math.AG]Abstract References Reviews Resources

Desingularizations of Schubert varieties in double Grassmannians

Published 2006-08-22, updated 2009-07-03Version 3

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.

Comments: 12 pages; uses youngtab.sty. Version 2: minor editorial changes, final version published in Funct. Anal. Appl

Journal: Funct. Anal. Appl. 42 (2008), no. 2, 126-134

Categories: math.AG, math.RT

Subjects: 14M15, 14N15, 14N20

Keywords: schubert varieties, double grassmannians, finite-dimensional vector space, construct desingularizations, direct product

Tags: journal article

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