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.
| Funders | Funder number |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | DMS-1953785 |
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China |
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