An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations
Annales Henri Lebesgue, Volume 6 (2023), pp. 117-149.

Metadata

Keywords semisimple principal toric fibration, extremal Kähler metric, weighted cscK metric, uniform K-stability, projective bundle

Abstract

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.


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