Showing math.DGShow all
2 papers · 1 filter
math.DG2025
On the Yau-Tian-Donaldson conjecture for weighted cscK metrics
Sébastien Boucksom, Mattias Jonsson
We establish a version, formulated in terms of non-Archimedean pluripotential theory, of the Yau-Tian-Donaldson conjecture for constant scalar curvature and, more generally, weight…
math.DG2024
Weighted extremal Kähler metrics on resolutions of singularities
Sébastien Boucksom, Mattias Jonsson, Antonio Trusiani
Generalizing previous results of Arezzo-Pacard-Singer, Seyyedali-Székelyhidi and Hallam, we prove the invariance under smooth blowups of the class of weighted extremal Kähler manif…