English

Singular loci of Bruhat-Hibi toric varieties

Algebraic Geometry 2008-09-25 v2

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.

Keywords

Cite

@article{arxiv.0707.2392,
  title  = {Singular loci of Bruhat-Hibi toric varieties},
  author = {Justin A. Brown and V. Lakshmibai},
  journal= {arXiv preprint arXiv:0707.2392},
  year   = {2008}
}

Comments

24 pages