52 citations · 78 across the 7 of their papers we have counts for
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math.DG2023
Infinite-dimensional flats in the space of positive metrics on an ample line bundle
Rémi Reboulet, David Witt Nyström
We show that any continuous positive metric on an ample line bundle L lies at the apex of many infinite-dimensional Mabuchi-flat cones. More precisely, given any bounded graded fil…
math.DG2016★ 1 cited
Coupled Kähler-Einstein metrics
Jakob Hultgren, David Witt Nyström
We propose new types of canonical metrics on Kähler manifolds, called coupled Kähler-Einstein metrics, generalizing Kähler-Einstein metrics. We prove existence and uniqueness resul…
math.DG2014★ 52 cited
Complex optimal transport and the pluripotential theory of Kähler-Ricci solitons
Robert J. Berman, David Witt Nystrom
Let (X,L) be a (semi-) polarized complex projective variety and T a real torus acting holomorphically on X with moment polytope P. Given a probability density g on P we introduce a…