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

Thibaut Delcroix; Simon Jubert

Pré-publication, Document de travail

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

Thibaut Delcroix ¹ Simon Jubert ^{2, 3}

1 IMAG - Institut Montpelliérain Alexander Grothendieck

2 IMT - Institut de Mathématiques de Toulouse UMR5219

3 UQAM - Université du Québec à Montréal = University of Québec in Montréal

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.

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

Type de document :

Pré-publication, Document de travail

Domaine :

Mathématiques [math] / Géométrie différentielle [math.DG]

Mathématiques [math] / Géométrie algébrique [math.AG]

Liste complète des métadonnées

https://hal.umontpellier.fr/hal-03660414
Contributeur : Thibaut Delcroix Connectez-vous pour contacter le contributeur
Soumis le : jeudi 5 mai 2022 - 18:16:53
Dernière modification le : mercredi 1 juin 2022 - 04:59:56

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

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

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