Polynomial-size vectors are enough for the unimodular triangulation of simplicial cones

DOI10.1016/j.jcta.2021.105421zbMath1459.52013arXiv1906.09118OpenAlexW3127404063MaRDI QIDQ2229183

Michael Von Thaden

Publication date: 22 February 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.09118

zbMATH Keywords

simplicial conestellar subdivisionunimodular triangulation

Mathematics Subject Classification ID

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) Polyhedral manifolds (52B70) Combinatorial complexity of geometric structures (52C45)

Cites Work

• Toroidal embeddings. I
• Unimodular covers of multiples of polytopes
• Unimodular triangulations of simplicial cones by short vectors
• Approximate formulas for some functions of prime numbers
• Polytopes, Rings, and K-Theory