Lattice Size in Higher Dimension
Combinatorics
2025-10-16 v2
Abstract
The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the context of simplification of the defining equation of an algebraic curve, but appeared implicitly earlier in geometric combinatorics. Previous work on the lattice size was devoted to studying the lattice size in dimension 2 and 3. In this paper we establish explicit formulas for the lattice size of a family of lattice simplices in arbitrary dimension.
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Cite
@article{arxiv.2209.00712,
title = {Lattice Size in Higher Dimension},
author = {Abdulrahman Alajmi and Sayok Chakravarty and Zachary Kaplan and Jenya Soprunova},
journal= {arXiv preprint arXiv:2209.00712},
year = {2025}
}
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8 pages