Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics
Abstract
We establish a quantitative version of strong localization of the Kobayashi-Eisenman volume element and the quotient invariant near plurisubharmonic peak points of domains in Cn. As an application of this strong localization result, we derive the non-tangential asymptotic limit of the Kobayashi-Eisenman volume element at exponentially flat infinite type boundary points of domains in Cn+1.
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