Abstract
We introduce the definition of an Ehrhart limit, that is, a formal power series with integer coefficients that is the limit in the ring of formal power series of a sequence of Ehrhart h∗-polynomials. We identify a variety of examples of sequences of polytopes that yield Ehrhart limits, with a focus on reflexive polytopes and simplices.
| Original language | English |
|---|---|
| Article number | #P1.02 |
| Journal | Ars Mathematica Contemporanea |
| Volume | 25 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2025 |
Bibliographical note
Publisher Copyright:© 2025 Society of Mathematicians, Physicists and Astronomers of Slovenia. All rights reserved.
Funding
*BB was partially supported by National Science Foundation award DMS-1953785. †Corresponding author. E-mail addresses: [email protected] (Benjamin Braun), [email protected] (McCabe Olsen)
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | DMS-1953785 |
Keywords
- Ehrhart theory
- lattice simplices
- reflexive polytopes
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- Geometry and Topology
- Discrete Mathematics and Combinatorics
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