A non-Archimedean theory of complex spaces and the cscK problem
Pietro Mesquita-Piccione
Published: 2024/9/10
Abstract
In this paper we develop an analogue of the Berkovich analytification for non-necessarily algebraic complex spaces. We apply this theory to generalize to arbitrary compact K\"ahler manifolds a result of Chi Li, proving that a stronger version of K-stability implies the existence of a unique constant scalar curvature K\"ahler metric.