Lattice Simplices with a Fixed Positive Number of Interior Lattice Points: A Nearly Optimal Volume Bound

DOI10.1093/imrn/rny130zbMath1455.52010arXiv1710.08646OpenAlexW3038801735WikidataQ129771456 ScholiaQ129771456MaRDI QIDQ5115687

Jan Krümpelmann, Benjamin Nill, Gennadiy Averkov

Publication date: 17 August 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08646

zbMATH Keywords

lattice simplexinterior lattice pointsoptimal volume bound

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Polynomial optimization (90C23)

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