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Lattice size in
higher dimensions
Abdulrahman Alajmi, Sayok Chakravarty, Zachary Kaplan and Jenya Soprunova |
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Vol. 17 (2024), No. 1, 153–162
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Abstract |
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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 dimensions 2 and 3. We establish explicit formulas for the lattice size of a family of lattice simplices in arbitrary dimension. |
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Keywords
lattice size, lattice width, lattice polytopes
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Mathematical Subject Classification
Primary: 11H06, 52B20, 52C07
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Milestones
Received: 9 September 2022
Revised: 23 December 2022
Accepted: 27 December 2022
Published: 15 March 2024
Communicated by Ravi Vakil
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Authors |
| Abdulrahman Alajmi | |
| Department of Mathematics Public Authority for Applied Education and Training Ardiya Kuwait |
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| Sayok Chakravarty | |
| Department of Mathematics,
Statistics, and Computer Science University of Illinois Chicago, IL United States |
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| Zachary Kaplan | |
| New Jersey Department of
Environmental Protection Trenton, NJ United States |
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| Jenya Soprunova | |
| Department of Mathematical
Sciences Kent State University Kent, OH United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
