2 papers
math.CV2024
Projective embedding of degenerating family of Kähler-Einstein manifolds of negative curvature
Jingzhou Sun
We study the Bergman embeddings of degenerating families of Kähler-Einsten manifolds of negative curvature. In one special case, we show that we can construct orthonormal bases so…
math.DG2024
Bergman Kernels of the Cheng-Yau metrics on quasi-projective manifolds
Jingzhoun Sun
We show the asymptotics of the Bergman kernel function near the smooth divisor at infinity of the Cheng-Yau metric on quasi-projective manifolds. In particular, we show that there…