Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians |
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Authors: | K.N. Raghavan |
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Affiliation: | a Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600113, India b Chennai Mathematical Institute, Plot No. H1, SIPCOT IT Park, Padur Post, Siruseri 603103, Tamilnadu, India |
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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. |
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Keywords: | Orthogonal Grassmannian Schubert variety Initial ideal Grö bner basis Pfaffian New form |
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