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arXiv · 2302.09792

Characteristic vectors for the Hurwitz polytopes of toric varieties

Ryoma Ogusu·Yuji Sano
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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.

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Ryoma Ogusu, Yuji Sano. 2023-02-20. Characteristic vectors for the Hurwitz polytopes of toric varieties. https://arxiv.org/abs/2302.09792

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