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math.DG2025
Polyhedral Kähler metrics on
Martin de Borbon, Dmitri Panov
We give necessary and sufficient conditions for the existence of polyhedral Kähler metrics on whose singular set is a hyperplane arrangement and whose cone angles a…
math.DG2025
Local classification of Kähler metrics with constant holomorphic sectional curvature
Martin de Borbon
We prove the local classification of Kähler metrics with constant holomorphic sectional curvature by exploiting the geometry of the bundle of 1-jets of holomorphic functions.