Singular loci of Bruhat-Hibi toric varieties

Details Singular loci of Bruhat-Hibi toric varieties Singular loci of Bruhat-Hibi toric varieties

2007-07-16

arxiv.org/abs/0707.2392v2

Journal of Algebra 319 (2008)

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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