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March 25, 2026International Mathematics Research Notices

Microlocal Multiplicity of Matroid Schubert Varieties

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Authors

YWYiyu WangUniversity of Wisconsin–Madison

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Implication

Researchers investigate multiplicity numbers of matroid Schubert varieties, suggesting broader implications for mathematics.

Key Points

  • This research aims to explore the multiplicity numbers associated with the characteristic cycles in matroid Schubert varieties.
  • Studied the characteristic cycle of intersection complexes of matroid Schubert varieties.
  • Formulated explicit formulas for computing multiplicity numbers.
  • Proposed a conjecture regarding the non-negativity of multiplicity in arbitrary matroids.
  • Demonstrated that multiplicity numbers serve as a combinatorial invariant.
  • Established explicit formulas to calculate multiplicity numbers.
  • Conjectured non-negativity of the multiplicity for more general matroid structures.

Cite This Study

Yiyu Wang (2026) studied this question.

synapsesocial.com/papers/69c37c33b34aaaeb1a67f03ehttps://doi.org/10.1093/imrn/rnag047
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Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Stellahedral geometry of matroids2023
  2. 2Macpherson's chern classes of singular algebraic varieties1990 · 102 citations