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arXiv · 2606.01773

Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics

Ravi Shankar Jaiswal·Debaprasanna Kar
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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 $\mathbb{C}^{n+1}$.

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Ravi Shankar Jaiswal, Debaprasanna Kar. 2026-06-01. Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics. https://arxiv.org/abs/2606.01773

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