Let Ww be a Schubert variety in the symplectic flag variety, and let ev 2 Ww be a torus fixed point. We give a combinatorial formula for the Hilbert-Samuel multiplicity of Ww at the point ev, in the case where w is a vexillary signed permutation. Our formula is phrased in terms of excited Young diagrams, extending results by Ghorpade-Raghavan and Ikeda-Naruse for Grassmannians, as well as Li-Yong for vexillary Schubert varieties in type A flag manifolds.
|出版ステータス||Published - 2019|
|イベント||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia|
継続期間: 2019 7 1 → 2019 7 5
|Conference||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019|
|Period||19/7/1 → 19/7/5|
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