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arXiv · 2408.09654

Microlocal multiplicity of matroid Schubert varieties

Yiyu Wang
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Abstract

We study the multiplicity number of the characteristic cycle of the intersection complex of the matroid Schubert variety. It is shown to be a combinatorial invariant, and it can be computed by explicit formulas. We also conjecture that the generalization to arbitrary matroid is non-negative.

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Yiyu Wang. 2024-08-19. Microlocal multiplicity of matroid Schubert varieties. https://arxiv.org/abs/2408.09654

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