Discrete volumes of lattice polyhedra via vector analysis

DOI10.1007/s00022-019-0471-5zbMath1417.52020OpenAlexW2921277785WikidataQ128256001 ScholiaQ128256001MaRDI QIDQ2000707

Yasuzo Nishimura

Publication date: 28 June 2019

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-019-0471-5

zbMATH Keywords

Gauss divergence theoremlattice polyhedronPick's theorem

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Cites Work

• Polynômes arithmétiques et méthode des polyedres en combinatoire
• On the Volume of Lattice Polyhedra
• Computing the Continuous Discretely
• Pick's Theorem Revisited
• Pick's Formula via the Weierstrass ℘-Function
• Polynomials Associated with Finite Gell-Complexes