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arXiv · 2507.22528

Supersymmetric Schur polynomials have saturated Newton polytopes

Dang Tuan Hiep·Khai-Hoan Nguyen-Dang
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Abstract

We prove that every supersymmetric Schur polynomial has a saturated Newton polytope (SNP). Our approach begins with a tableau-theoretic description of the support, which we encode as a polyhedron with a totally unimodular constraint matrix. The integrality of this polyhedron follows from the Hoffman-Kruskal criterion, thereby establishing the SNP property.

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Dang Tuan Hiep, Khai-Hoan Nguyen-Dang. 2025-08-20. Supersymmetric Schur polynomials have saturated Newton polytopes. https://arxiv.org/abs/2507.22528

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