Multiplicities of Points on Schubert Varieties in Grassmannians
J. Rosenthal, A. Zelevinsky
TL;DR
This paper provides an explicit determinantal formula to compute the multiplicity of any point on classical Schubert varieties within Grassmannians, advancing the understanding of their local geometric properties.
Contribution
It introduces a new explicit determinantal formula for point multiplicities on Schubert varieties, which was previously unknown.
Findings
Derived a determinantal formula for multiplicities
Enabled explicit calculations of local invariants
Enhanced understanding of Schubert variety singularities
Abstract
We obtain an explicit determinantal formula for the multiplicity of any point on a classical Schubert variety.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematical Dynamics and Fractals · Nonlinear Waves and Solitons