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math.DG2020★ 6 cited
On a property of Bergman kernels when the Kähler potential is analytic
Hamid Hezari, Hang Xu
We provide a simple proof of a result of Rouby-Sjöstrand-Ngoc \cite{RSN} and Deleporte \cite{Deleporte}, which asserts that if the Kähler potential is real analytic then the Bergma…
math.DG2017★ 5 cited
Off-diagonal asymptotic properties of Bergman kernels associated to analytic Kähler potentials
Hamid Hezari, Zhiqin Lu, Hang Xu
We prove a new off-diagonal asymptotic of the Bergman kernels associated to tensor powers of a positive line bundle on a compact Kähler manifold. We show that if the Kähler potenti…
math.DG2014
Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model
Hamid Hezari, Casey Lynn Kelleher, Shoo Seto +1
We give an alternate proof of the existence of the asymptotic expansion of the Bergman kernel associated to the -th tensor powers of a positive line bundle in a $\frac{1}{\s…