A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes

DOI10.1016/j.crma.2012.02.001zbMath1251.52007arXiv1111.2880OpenAlexW2963679793MaRDI QIDQ412574

Michèle Vergne, Alicia Dickenstein, Benjamin Nill

Publication date: 4 May 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2880

zbMATH Keywords

lattice polytopesdegree of the discriminant of a smooth projective toric varietylattice volumes of facesnumber of integral points

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)

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Cites Work

• Polynômes arithmétiques et méthode des polyedres en combinatoire
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