The stars at infinity in several complex variables

Autor: Karlsson, Anders
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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, Teichm\"uller theory, and the existence of constant scalar curvature metrics on compact K\"ahler manifolds.
Comment: 21 pages
Databáze: arXiv