TY - CONF
T1 - Multiplicities of Schubert varieties in the symplectic flag variety
AU - Anderson, Dave
AU - Ikeda, Takeshi
AU - Jeon, Minyoung
AU - Kawago, Ryotaro
N1 - Funding Information:
∗anderson.2804@math.osu.edu. DA was partially supported by NSF Grant DMS-1502201. †ike@xmath.ous.ac.jp. TI was partially supported by JSPS KAKENHI Grant Numbers 17H02838, 16H03920. ‡jeon.163@osu.edu. §kawago3@gmail.com.
Publisher Copyright:
© FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - Multiplicity
KW - Schubert variety
KW - Vexillary permutation
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M3 - Paper
AN - SCOPUS:85087888190
T2 - 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019
Y2 - 1 July 2019 through 5 July 2019
ER -