102 citations · 294 across the 30 of their papers we have counts for
41 papers
Measures of finite energy in pluripotential theory: a synthetic approach
Sebastien Boucksom, Mattias Jonsson
We introduce a synthetic approach to global pluripotential theory, covering in particular the case of a compact Kähler manifold and that of a projective Berkovich space over a non-…
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…
Geodesic Rays in the Donaldson--Uhlenbeck--Yau Theorem
Mattias Jonsson, Nicholas McCleerey, Sanal Shivaprasad
We give new proofs of two implications in the Donaldson--Uhlenbeck--Yau theorem. Our proofs are based on geodesic rays of Hermitian metrics, inspired by recent work on the Yau--Tia…
Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces
Jakob Hultgren, Mattias Jonsson, Enrica Mazzon +1
For a class of maximally degenerate families of Calabi-Yau hypersurfaces of complex projective space, we study associated non-Archimedean and tropical Monge-Ampère equations, takin…
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…