Off-diagonal Asymptotic Properties of Bergman Kernels Associated to Analytic Kähler Potentials

DOI10.1093/IMRN/RNY081zbMath1442.32011arXiv1705.09281OpenAlexW2963601414MaRDI QIDQ5108339

Hamid Hezari, Zhiqin Lu, Hang Xu

Publication date: 4 May 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09281

zbMATH Keywords

Bergman kernelcompact Kähler manifoldpositive line bundle

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05)

Related Items (8)

WKB eigenmode construction for analytic Toeplitz operators ⋮ Coherent states and entropy ⋮ Analytic Bergman operators in the semiclassical limit ⋮ Analytic Berezin-Toeplitz operators ⋮ On a property of Bergman kernels when the Kähler potential is analytic ⋮ Toeplitz operators with analytic symbols ⋮ Asymptotic expansion of the variance of random zeros on complex manifolds ⋮ Scaling asymptotics for Szegő kernels on Grauert tubes

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