102 citations · 494 across the 37 of their papers we have counts for
25 papers · 1 filter
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…
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…
Non-Archimedean Green's functions and Zariski decompositions
Sebastien Boucksom, Mattias Jonsson
We study the non-Archimedean Monge-Ampère equation on a smooth projective variety over a discretely or trivially valued field. First, we give an example of a Green's function, asso…
A non-Archimedean approach to K-stability, II: divisorial stability and openness
Sebastien Boucksom, Mattias Jonsson
To any projective pair equipped with an ample -line bundle (or even any ample numerical class), we attach a new invariant , defined on co…
Addendum to the article `Global pluripotential theory over a trivially valued field'
Sebastien Boucksom, Mattias Jonsson
This note is an addendum to the paper `Global pluripotential theory over a trivially valued field' by the present authors, in which we prove two results. Let be an irreducible…
A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations
Sébastien Boucksom, Mattias Jonsson
For any polarized variety (X,L), we show that test configurations and, more generally, R-test configurations (defined as finitely generated filtrations of the section ring) can be…