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math.DG2016
Tropical and non-Archimedean limits of degenerating families of volume forms
Sébastien Boucksom, Mattias Jonsson
We study the asymptotic behavior of volume forms on a degenerating family of compact complex manifolds. Under rather general conditions, we prove that the volume forms converge in…
math.DG2016
Uniform K-stability and asymptotics of energy functionals in Kähler geometry
Sébastien Boucksom, Tomoyuki Hisamoto, Mattias Jonsson
Consider a polarized complex manifold (X,L) and a ray of positive metrics on L defined by a positive metric on a test configuration for (X,L). For most of the common functionals in…