From complex to non-Archimedean geometry: an approach to the YTD conjecture

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Sébastien Boucksom, Mattias Jönsson
DOI: 10.48550/arxiv.2602.10800
Cited by: 0

Abstract

These notes expand on talks given by the authors at the 2025 Summer Research Institute in Algebraic Geometry in Fort Collins, Colorado. We discuss the relation between algebraic, analytic, and non-Archimedean geometry over the complex numbers, and sketch a proof of a version of the Yau--Tian--Donaldson conjecture for constant scalar curvature Kähler metrics.

Fields of Study & Subjects

Geometry and complex manifolds Algebraic Geometry and Number Theory Geometric Analysis and Curvature Flows

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint