Cayley decompositions of lattice polytopes and upper bounds for h*-polynomials

DOI10.1515/CRELLE.2009.096zbMath1185.52012arXiv0804.3667OpenAlexW2963641544MaRDI QIDQ3404376

Benjamin Nill, Sam Payne, Christian Haase

Publication date: 9 February 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3667

zbMATH Keywords

Ehrhart polynomiallattice polytopeGorenstein polytopeEhrhart series\(h^*\)-polynomialCayley decomposition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items

Linear Toric Fibrations, Discriminants, Polytopes, and Toric Geometry, Classifying smooth lattice polytopes via toric fibrations, A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes, Rational polytopes with Ehrhart coefficients of arbitrary period, The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes, Periods of Ehrhart coefficients of rational polytopes, On smooth Gorenstein polytopes, Lattice simplices of maximal dimension with a given degree, Gorenstein polytopes with trinomial \(h^*\)-polynomials, Lattice polytopes cut out by root systems and the Koszul property, The mixed degree of families of lattice polytopes, Ehrhart theory for Lawrence polytopes and orbifold cohomology of hypertoric varieties

Cites Work

• Lattice polytopes having \(h^*\)-polynomials with given degree and linear coefficient
• Lattice points in lattice polytopes