Degeneration of Schubert varieties of \(SL_n\slash B\) to toric varieties (Q5956578)
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scientific article; zbMATH DE number 1710108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Degeneration of Schubert varieties of \(SL_n\slash B\) to toric varieties |
scientific article; zbMATH DE number 1710108 |
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Degeneration of Schubert varieties of \(SL_n\slash B\) to toric varieties (English)
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21 February 2002
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The authors show that certain Schubert varieties in \(SL(n) /B\) degenerate to toric varieties. The main idea used in this article is to relate such a Schubert variety to a distributive lattice and then to use standard monomial basis in the same spirit as Gonciulea-Laskshmibai's proof of degeneration of a Schubert variety in a minuscule \(G/P\) to a toric variety [see \textit{N. Gonciulea} and \textit{V. Lakshmibai}, Transform Groups 1, No. 3, 215-248 (1996; Zbl 0909.14028)].
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Schubert varieties
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toric varieties
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distributive lattice
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standard monomial basis
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