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math.AG2026
From complex to non-Archimedean geometry: an approach to the YTD conjecture
Sébastien Boucksom, Mattias Jonsson
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, a…
math.AG2018
Global pluripotential theory over a trivially valued field
Sébastien Boucksom, Mattias Jonsson
We develop global pluripotential theory in the setting of Berkovich geometry over a trivially valued field. Specifically, we define and study functions and measures of finite energ…