Double Schubert polynomials do have saturated Newton polytopes

DOI10.1017/fms.2023.101zbMath1529.14034arXiv2109.10299OpenAlexW3201408525MaRDI QIDQ6087248

Federico Castillo, Yairon Cid-Ruiz, Jonathan Montaño, Fatemeh Mohammadi

Publication date: 15 November 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10299

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Multiplicity theory and related topics (13H15) Linkage, complete intersections and determinantal ideals (13C40) Grassmannians, Schubert varieties, flag manifolds (14M15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Classical problems, Schubert calculus (14N15)

Cites Work

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• Gröbner geometry of Schubert polynomials
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• Some combinatorial properties of Schubert polynomials
• Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces
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• Combinatorial optimization. Polyhedra and efficiency (3 volumes)
• Mixed multiplicities and projective degrees of rational maps
• Newton polytopes in algebraic combinatorics
• RC-Graphs and Schubert Polynomials
• Back stable Schubert calculus
• Logarithmic concavity of Schur and related polynomials
• When are multidegrees positive?

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