An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons

Fuente: arXiv
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Main Authors: Delcroix, Thibaut, Jubert, Simon
Format: Preprint
Published: 2022
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author Delcroix, Thibaut
Jubert, Simon
author_facet Delcroix, Thibaut
Jubert, Simon
contents The second author has shown that existence of extremal Kähler metrics on semisimple principal toric fibrations is equivalent to a notion of weighted uniform K-stability, read off from the moment polytope. The purpose of this article is to prove various sufficient conditions of weighted uniform K-stability which can be checked effectively and explore the low dimensional new examples of extremal Kähler metrics it provides.
format Preprint
id arxiv_https___arxiv_org_abs_2202_02996
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons
Delcroix, Thibaut
Jubert, Simon
Differential Geometry
The second author has shown that existence of extremal Kähler metrics on semisimple principal toric fibrations is equivalent to a notion of weighted uniform K-stability, read off from the moment polytope. The purpose of this article is to prove various sufficient conditions of weighted uniform K-stability which can be checked effectively and explore the low dimensional new examples of extremal Kähler metrics it provides.
title An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons
topic Differential Geometry
url https://arxiv.org/abs/2202.02996