Local geodesics between toric plurisubharmonic functions with infinite energy

2016/06/16 by Genki Hosono, Hosono, Genki
Mathematics · #32U05 #32U25 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV #msc:32U05 #msc:32U25

paper · pdf · doi:10.48550/arxiv.1606.05235

8 pages

arxiv created 2016/06/16 · openalex publication_date 2016/06/16 · arxiv updated 2016/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Our interest is the behavior of weak geodesics between two plurisubharmonic functions on pseudoconvex domains. We characterize the convergence condition along the geodesic between toric psh functions with a pole at origin on a unit ball in ℂⁿ by means of Lelong numbers.

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