Smooth Fano polytopes arising from finite partially ordered sets
Takayuki Hibi, Akihiro Higashitani
TL;DR
This paper introduces Gorenstein Fano polytopes derived from finite partially ordered sets and investigates which of these sets produce smooth Fano polytopes, contributing to the understanding of their geometric properties.
Contribution
It is the first to systematically study the conditions under which finite partially ordered sets generate smooth Gorenstein Fano polytopes.
Findings
Identification of classes of partially ordered sets that produce smooth Fano polytopes
Characterization of Gorenstein Fano polytopes from posets
New insights into the structure of smooth Fano polytopes
Abstract
Gorenstein Fano polytopes arising from finite partially ordered sets will be introduced. Then we study the problem which partially ordered sets yield smooth Fano polytopes.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications