PreprintCC BY 4.0arXiv
Lecture hall polytopes and Lakshmibai-Seshadri paths
Abstract
Using a bijection between the lattice points in a lecture hall polytope and Lakshimibai-Seshadri (L-S) paths, we prove the Koszul property of lecture hall polytopes in complete generality, and give new proofs for their Integral Decomposition Property and for a criterion on Gorenstein property.
Related
- Weighted lattice point enumeration in lecture hall order polytopes
- A simple algorithm for computing Hamilton paths on independent set polytopes
- Weighted Seshadri constants and ellipsoid embeddings
- Seshadri constants and hyperelliptic curves on abelian varieties
- Lifting negative curves from finite fields and Seshadri constants at ten points
BibTeX
@misc{chirivi2026lecture,
title = {{Lecture hall polytopes and Lakshmibai-Seshadri paths}},
author = {Rocco Chirivì and Martina Costa Cesari and Xin Fang and Peter Littelmann},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03195},
eprint = {2609.03195},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03195},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lecture hall polytopes and Lakshmibai-Seshadri paths
AU - Rocco Chirivì
AU - Martina Costa Cesari
AU - Xin Fang
AU - Peter Littelmann
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.03195
UR - https://arxiv.org/abs/2609.03195
AB - Using a bijection between the lattice points in a lecture hall polytope and Lakshimibai-Seshadri (L-S) paths, we prove the Koszul property of lecture hall polytopes in complete generality, and give new proofs for their Integral Decomposition Property and for a criterion on Gorenstein property.
ER -