Desingularizations of Schubert varieties in double Grassmannians

被引：0

作者：

E. Yu. Smirnov

机构：

[1] Independent University of Moscow,

[2] Institut Fourier,undefined

来源：

Functional Analysis and Its Applications | 2008年 / 42卷

关键词：

Grassmannian; spherical variety; desingularization;

D O I：

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摘要：

Let X = Gr(k, V) × Gr(l, V) be the direct product of two Grassmann varieties of k-and l-planes in a finite-dimensional vector space V, and let B ⊂ GL(V) be the isotropy group of a complete flag in V. We consider B-orbits in X, which are an analog of 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.

引用

共 9 条

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[3]

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[4]

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Weyman J.(undefined)undefined undefined undefined undefined-undefined

[7]

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[8]

Richardson R. W.(undefined)undefined undefined undefined undefined-undefined

[9]

Springer T. A.(undefined)undefined undefined undefined undefined-undefined

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