The stars at infinity in several complex variables
Complex Variables
2023-05-30 v2
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, Teichm\"uller theory, and the existence of constant scalar curvature metrics on compact K\"ahler manifolds.
Cite
@article{arxiv.2302.12671,
title = {The stars at infinity in several complex variables},
author = {Anders Karlsson},
journal= {arXiv preprint arXiv:2302.12671},
year = {2023}
}
Comments
21 pages