Volume and lattice points of reflexive simplices

DOI10.1007/s00454-006-1299-yzbMath1166.52013arXivmath/0412480OpenAlexW3103031028MaRDI QIDQ878076

Benjamin Nill

Publication date: 26 April 2007

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412480

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Rational numbers as sums of fractions (11D68)

Related Items

Largest integral simplices with one interior integral point: solution of Hensley's conjecture and related results ⋮ Regular unimodular triangulations of reflexive IDP 2-supported weighted projective space simplices ⋮ The \(\delta\)-vectors of reflexive polytopes and of the dual polytopes ⋮ Many faces of symmetric edge polytopes ⋮ Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes ⋮ Detecting the integer decomposition property and Ehrhart unimodality in reflexive simplices ⋮ Elementary geometry on the integer lattice ⋮ Self dual reflexive simplices with Eulerian polynomials ⋮ Sharp degree bounds for fake weighted projective spaces ⋮ Mutations of fake weighted projective spaces ⋮ CYCLIC SYSTEMS OF SIMULTANEOUS CONGRUENCES ⋮ Simplices for numeral systems ⋮ Ehrhart series and lattice triangulations ⋮ Local optimality of Zaks-Perles-Wills simplices ⋮ Flow polytopes and the graph of reflexive polytopes

Uses Software

• OEIS