Tropical convexity via cellular resolutions

DOI10.1007/s10801-006-9104-9zbMath1097.52506arXivmath/0503279OpenAlexW2144755471MaRDI QIDQ2498444

Josephine Yu, Florian Block

Publication date: 16 August 2006

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503279

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Three-dimensional polytopes (52B10) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items

TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES ⋮ Multivariate volume, Ehrhart, and \(h^\ast \)-polynomials of polytropes ⋮ Tropicalization of facets of polytopes ⋮ Generators, extremals and bases of max cones ⋮ Drawing polytopal graphs with {\texttt{polymake}} ⋮ Products of foldable triangulations ⋮ The number of extreme points of tropical polyhedra ⋮ Tropical medians by transportation ⋮ Computing the vertices of tropical polyhedra using directed hypergraphs ⋮ Face posets of tropical polyhedra and monomial ideals ⋮ Minimal half-spaces and external representation of tropical polyhedra ⋮ Tropical linear spaces and tropical convexity ⋮ Mustafin varieties ⋮ The hyperdeterminant and triangulations of the 4-cube ⋮ Tropical polar cones, hypergraph transversals, and mean payoff games ⋮ Tropical types and associated cellular resolutions ⋮ The slice algorithm for irreducible decomposition of monomial ideals ⋮ Minimal free resolutions of monomial ideals and of toric rings are supported on posets

Uses Software

• Macaulay2
• JavaView

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tropical convexity
• Computing irredundant irreducible decompositions of large scale monomial ideals