Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911739455471616 |
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| author | Jaiswal, Ravi Shankar Kar, Debaprasanna |
| author_facet | Jaiswal, Ravi Shankar Kar, Debaprasanna |
| contents | 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 $\mathbb{C}^{n+1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01773 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics Jaiswal, Ravi Shankar Kar, Debaprasanna Complex Variables 32F45, 32T27, 32T40, 32U05 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 $\mathbb{C}^{n+1}$. |
| title | Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics |
| topic | Complex Variables 32F45, 32T27, 32T40, 32U05 |
| url | https://arxiv.org/abs/2606.01773 |