A non-Archimedean characterization of local K-stability

Abstract: Log Fano cone singularities are generalizations of cones over Fano varieties, and have a local K-stability theory extending the one for Fano varieties. In this talk, we aim to give a characterization for local K-stability from a non-Archimedean point of view. As a consequence of this characterization, we can show that a log Fano cone singularity is K-polystable with respect to a larger class of test configurations if it admits a Ricci-flat Kähler cone metric, strengthening earlier results of Collins-Székelyhidi and Li.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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