A non-Archimedean theory of complex spaces and the cscK problem
Published in Advances in Mathematics, 2024
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 Kähler manifolds a result of Chi Li, proving that a stronger version of K-stability implies the existence of a unique constant scalar curvature Kähler metric. Keywords: cscK; K-stability; Non-Archimedean geometry
Recommended citation: P. Mesquita-Piccione. (2025). "A non-Archimedean theory of complex spaces and the cscK problem." Adv. Math.. 481: Paper No. 110543.
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