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 $\mathbb{C}^n$. 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 $\mathbb{C}^{n+1}$.
From: Ravi Shankar Jaiswal [view email]
[v1]
Mon, 1 Jun 2026 06:56:27 UTC (16 KB)
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