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arXiv · 0707.2392

Singular loci of Bruhat-Hibi toric varieties

Justin A. Brown·V. Lakshmibai
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Abstract

For the toric variety X associated to the Bruhat poset of Schubert varieties in a minuscule G/P, we describe the singular locus in terms of the faces of the associated polyhedral cone. We further show that the singular locus is pure of codimension 3 in X.

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Justin A. Brown, V. Lakshmibai. 2007-11-08. Singular loci of Bruhat-Hibi toric varieties. https://arxiv.org/abs/0707.2392

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