تقرير
Beyond positivity in Ehrhart Theory
العنوان: | Beyond positivity in Ehrhart Theory |
---|---|
المؤلفون: | Adiprasito, Karim Alexander, Papadakis, Stavros Argyrios, Petrotou, Vasiliki, Steinmeyer, Johanna Kristina |
سنة النشر: | 2022 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Commutative Algebra, Mathematics - Algebraic Geometry |
الوصف: | We study semigroup algebras arising from lattice polytopes, compute their volume polynomials (particularizing work of Hochster), and establish strong Lefschetz properties (generalizing work of the first three authors). This resolves several conjectures concerning unimodality properties of the $h^\ast$-polynomial of lattice polytopes arising within Ehrhart theory. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2210.10734 |
رقم الأكسشن: | edsarx.2210.10734 |
قاعدة البيانات: | arXiv |
كن أول من يترك تعليقا!