Generalized permutahedra and Schubert calculus

DOI10.1007/s40598-022-00208-zOpenAlexW3095234666WikidataQ114016884 ScholiaQ114016884MaRDI QIDQ2101710

Avery St. Dizier, Alexander Yong

Publication date: 6 December 2022

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14332

zbMATH Keywords

Newton polytopesSchubert polynomialsSchubert intersection numbersSchubitopes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Linear programming (90C05) Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

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• Geometric complexity theory. III: On deciding nonvanishing of a Littlewood-Richardson coefficient
• Matroid polytopes and their volumes
• Key polynomials and a flagged Littlewood-Richardson rule
• Schubert polynomials as integer point transforms of generalized permutahedra
• Kostant polynomials and the cohomology ring for \(G/B\)
• Computational complexity, Newton polytopes, and Schubert polynomials
• Newton polytopes in algebraic combinatorics
• Variations on a theme of Schubert calculus
• Eigenvalue problem and a new product in cohomology of flag varieties
• Descent-Cycling in Schubert Calculus
• Schubert Calculus
• On the Computation of Clebsch–Gordan Coefficients and the Dilation Effect
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Vanishing and nonvanishing criteria in Schubert calculus
• An Inequality

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