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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.AG2025
From amoebas to pluripotential theory on hybrid analytic spaces
Sebastien Boucksom
These lecture notes are an introduction to the use of non-Archimedean geometry in the study of meromorphic degenerations of complex algebraic varieties. They provide a self-contain…