The stars at infinity in several complex variables

Anders Karlsson

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arXiv · 2302.12671

The stars at infinity in several complex variables

Anders Karlsson

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Abstract

This text reviews certain notions in metric geometry that may have further applications to problems in complex geometry and holomorphic dynamics in several variables. The discussion contains a few unrecorded results and formulates a number of questions related to the asymptotic geometry and boundary estimates of bounded complex domains, boundary extensions of biholomorphisms, the dynamics of holomorphic self-maps, Teichmüller theory, and the existence of constant scalar curvature metrics on compact Kähler manifolds.

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Anders Karlsson. 2023-05-29. The stars at infinity in several complex variables. https://arxiv.org/abs/2302.12671

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