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

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Résumé

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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Dates et versions

hal-03660414 , version 1 (05-05-2022)

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Thibaut Delcroix, Simon Jubert. An effective weighted K-stability condition for polytopes and semisimple principal toric fibrations. 2022. ⟨hal-03660414⟩
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