Polynomials and spatial Pick-type theorems
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Publication:2474000
DOI10.1016/j.exmath.2007.06.001zbMath1137.52005OpenAlexW1982635654MaRDI QIDQ2474000
Krzysztof Kołodziejczyk, John R. Reay
Publication date: 5 March 2008
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.exmath.2007.06.001
(n)-dimensional polytopes (52B11) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattices and convex bodies (number-theoretic aspects) (11H06)
Cites Work
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- From Homma's theorem to Pick's theorem
- The boundary characteristic and Pick's theorem in the Archimedean planar tilings
- A new formula for the volume of lattice polyhedra
- Areas of lattice figures in the planar tilings with congruent regular polygons
- Hadwiger-Wills-type higher-dimensional generalizations of Pick's theorem
- On odd points and the volume of lattice polyhedra
- The boundary characteristic and the volume of lattice polyhedra
- An odd formula for the volume of three-dimensional lattice polyhedra
- On the Volume of Lattice Polyhedra
- An upper estimate for the lattice point enumerator
- The Fascination of the Elementary
- A Further Note on the Volume of Lattice Polyhedra
- Pick's Theorem
- Neuere Studien über Gitterpolygone.
- Genera of algebraic varieties and counting of lattice points
- On the volume of lattice manifolds
- Sur un probl?me de g?om?trie diophantienne lin?aire. I. Poly?dres et r?seaux.
- Polynomials Associated with Finite Gell-Complexes