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math.CV2023★ 2 cited
Kähler-Einstein Bergman metrics on pseudoconvex domains of dimension two
Nikhil Savale, Ming Xiao
We prove that a two dimensional pseudoconvex domain of finite type with a Kähler-Einstein Bergman metric is biholomorphic to the unit ball. This answers an old question of Yau for…
math.CV2020★ 1 cited
Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases
Chin-Yu Hsiao, Nikhil Savale
We construct a pointwise Boutet de Monvel-Sjöstrand parametrix for the Szegő kernel of a weakly pseudoconvex three dimensional CR manifold of finite type assuming the range of its…