A non-Archimedean characterization of local K-stability
Yueqiao Wu (Michigan Univ)
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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Organizers: | Julien Keller*, Duncan McCoy |
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