Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians

Details Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians

2007-10-16

arxiv.org/abs/0710.2950v2

Mathematics

Combinatorics

36 pages, 3 figures; for version 2: error in definition of "new form" corrected

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713908