SYZ and optimal transport stability of Weyl polytopes
Differential Geometry
2025-05-06 v2 Algebraic Geometry
Abstract
We prove optimal transport stability (in the sense of Andreasson and the second author) for reflexive Weyl polytopes: reflexive polytopes which are convex hulls of an orbit of a Weyl group. When the reflexive Weyl polytope is Delzant, it follows from work of Li, Andreasson, Hultgren, Jonsson, Mazzon, McCleerey, that the weak metric SYZ conjecture holds for the Dwork family in the corresponding toric Fano manifold. In particular, we show that the weak metric SYZ conjecture holds for centrally symmetric smooth Fano toric manifolds.
Keywords
Cite
@article{arxiv.2406.02068,
title = {SYZ and optimal transport stability of Weyl polytopes},
author = {Thibaut Delcroix and Jakob Hultgren},
journal= {arXiv preprint arXiv:2406.02068},
year = {2025}
}
Comments
11 pages, comments welcome!