Lattice polytopes from Schur and symmetric Grothendieck polynomials

DOI10.37236/9621zbMath1466.52018arXiv2005.09628OpenAlexW3174367349MaRDI QIDQ2034074

McCabe Olsen, Bennet Goeckner, Julianne Vega, Martha Yip, Su Ji Hong, Casey Pinckney, Margaret M. Bayer, Tyrrell B. McAllister

Publication date: 21 June 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09628

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symmetric functions and generalizations (05E05)

Related Items

Newton polytope of good symmetric polynomials, The permuto-associahedron revisited

Uses Software

• SageMath
• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unimodality questions for integrally closed lattice polytopes
• \(h\)-vectors of Gorenstein polytopes
• Ehrhart series and lattice triangulations
• On the Hilbert function of a graded Cohen-Macaulay domain
• Dual polytopes of rational convex polytopes
• Hilbert bases, unimodular triangulations, and binary covers of rational polyhedral cones
• Gorenstein algebras of Veronese type
• Combinatorial optimization. Polyhedra and efficiency (3 volumes)
• \(h^\ast\)-vectors, Eulerian polynomials and stable polytopes of graphs
• Combinatorial aspects of the \(K\)-theory of Grassmannians
• A combinatorial formula for the Ehrhart \(h^\ast \)-vector of the hypersimplex
• Computational complexity, Newton polytopes, and Schubert polynomials
• Newton polytopes in algebraic combinatorics
• Newton polytopes and symmetric Grothendieck polynomials
• Alcoved polytopes. I.
• Special simplices and Gorenstein toric rings.
• Unimodality problems in Ehrhart theory
• Root Polytopes and Growth Series of Root Lattices
• Normality and covering properties of affine semigroups
• An Inequality