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Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians
- Source :
-
Journal of Combinatorial Theory - Series A . Apr2009, Vol. 116 Issue 3, p663-683. 21p. - Publication Year :
- 2009
-
Abstract
- Abstract: 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 define 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. [Copyright &y& Elsevier]
- Subjects :
- *COORDINATES
*ANALYTIC geometry
*DIFFERENTIAL geometry
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00973165
- Volume :
- 116
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series A
- Publication Type :
- Academic Journal
- Accession number :
- 36681703
- Full Text :
- https://doi.org/10.1016/j.jcta.2008.10.005