Diameter lower bounds for the Kähler–Ricci flow at finite-time singularities

Abstract: We establish a uniform lower bound for the diameter along the Kähler–Ricci flow up to the first finite-time singularity for non-Fano initial data. The argument is based on a weak transcendental base-point-freeness result on compact Kähler manifolds and a generalized Schwarz-type lemma.

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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