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math.DG2025
A YTD correspondence for constant scalar curvature metrics
Tamás Darvas, Kewei Zhang
Given a compact Kähler manifold, to better understand Mabuchi's energy we introduce a family of energies, whose favorable properties are similar to those of the Ding ener…
math.DG2025
Lines in the space of Kähler metrics
Tamás Darvas, Nicholas McCleerey
We establish a Ross-Witt Nyström correspondence for weak geodesic lines in the (completed) space of Kähler metrics. We construct a wide range of weak geodesic lines on arbitrary pr…