Singular loci of Grassmann-Hibi toric varieties

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

For the toric variety X associated to the Bruhat poset of Schubert varieties in the Grassmannian, we describe the singular locus in terms of the faces of the associated polyhedral cone. We also determine the tangent cones at the maximal singularities of X. These turn out to be again toric varieties. In the case of X being associated to the Bruhat poset of Schubert varieties in the Grassmannian of 2-planes in a n-dimensional vector space (over the base field), we also prove a certain product formula relating the multiplicities at certain singular points.
28 pages

Keywords

Algebraic Geometry, Commutative Algebra, 20G10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/141679

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612289
 http://arxiv.org/abs/math/0612289

Collections

arXiv