PreprintarXiv licencearXiv
Ehrhart theorem for integral-integral affine manifolds with corners
Abstract
We study lattice-counting functions on compact integral-integral affine manifolds with corners, which generalize integral unimodular polytopes. We prove analogues of Ehrhart's theorem and Ehrhart-Macdonald reciprocity in this setting.
Related
- Integral Points and Volume of Integral-Integral Affine Manifolds
- The Bonnet-Myers theorem on Finsler manifolds with integral weighted Ricci curvature bounds
- Singularity Analysis of Laplace Boundary Integral Equations on Three-Dimensional Domains with Corners
- Lp-Integral Affine Surface Area-Variational Capacity Inequalities
- Integral Forms of Twisted Quantum Affine Algebras and Quantum Frobenius
BibTeX
@misc{elisha2026ehrhart,
title = {{Ehrhart theorem for integral-integral affine manifolds with corners}},
author = {Oded Elisha},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27738},
eprint = {2609.27738},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27738},
}
RIS
TY - UNPB
TI - Ehrhart theorem for integral-integral affine manifolds with corners
AU - Oded Elisha
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27738
UR - https://arxiv.org/abs/2609.27738
AB - We study lattice-counting functions on compact integral-integral affine manifolds with corners, which generalize integral unimodular polytopes. We prove analogues of Ehrhart's theorem and Ehrhart-Macdonald reciprocity in this setting.
ER -