Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We compute the initial ideals, with respect to certain conveniently chosen term orders, of ideals of tangent cones at torus fixed points to Schubert varieties in orthogonal Grassmannians. The initial ideals turn out to be square-free monomial ideals and therefore Stanley-Reisner face rings of simplicial complexes. We describe these complexes. The maximal faces of these complexes encode certain sets of non-intersecting lattice paths.
36 pages, 3 figures; for version 2: error in definition of "new form" corrected

Keywords

Combinatorics, Commutative Algebra, Algebraic Geometry, 05E15 (Primary); 13F50, 13P10, 14L35 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/156849

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.2950
 http://arxiv.org/abs/0710.2950

Collections

arXiv