Characteristic vectors for the Hurwitz polytopes of toric varieties
Algebraic Geometry
2023-02-21 v1
Abstract
We introduce a characteristic vector with respect to a regular triangulation of the momentum polytope to compute the Hurwitz polytope of a given smooth toric variety. As a result, we prove that the convex hull of such vectors of all regular triangulations is included in the Hurwitz polytope of a smooth toric surface. In addition, we discuss the relations of such vectors to K-stability of pairs by Paul and toric K-stability by Donaldson.
Keywords
Cite
@article{arxiv.2302.09792,
title = {Characteristic vectors for the Hurwitz polytopes of toric varieties},
author = {Ryoma Ogusu and Yuji Sano},
journal= {arXiv preprint arXiv:2302.09792},
year = {2023}
}
Comments
22 pages, 2 figures, 1 table