Report
Local $h^*$-polynomials for one-row Hermite normal form simplices
| العنوان: | Local $h^*$-polynomials for one-row Hermite normal form simplices |
|---|---|
| المؤلفون: | Bajo, Esme, Braun, Benjamin, Codenotti, Giulia, Hofscheier, Johannes, Vindas-Meléndez, Andrés R. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics |
| الوصف: | The local $h^*$-polynomial of a lattice polytope is an important invariant arising in Ehrhart theory. Our focus is on lattice simplices presented in Hermite normal form with a single non-trivial row. We prove that when the off-diagonal entries are fixed, the distribution of coefficients for the local $h^*$-polynomial of these simplices has a limit as the normalized volume goes to infinity. Further, this limiting distribution is determined by the coefficients for a particular choice of normalized volume. We also provide an analysis of two specific families of such simplices to illustrate and motivate our main result. Comment: minor edits |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.01186 |
| رقم الانضمام: | edsarx.2309.01186 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |