Pietro Mesquita-Piccione

collaborators

2 papers

math.AG2025

A transcendental non-Archimedean Calabi--Yau Theorem with applications to the cscK problem

Pietro Mesquita-Piccione, David Witt Nyström

Let $X$ be a compact Kähler manifold and $α$ a Kähler class on $X$ . We prove that if $(X, α)$ is uniformly K-stable for models, then there is a unique cscK metric in $α$ . This was f…

math.DG2024

A non-Archimedean theory of complex spaces and the cscK problem

Pietro Mesquita-Piccione

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 m…