Remark on the off-diagonal expansion of the Bergman kernel on compact Kähler manifolds

DOI10.1007/s40304-013-0004-8zbMath1281.53073arXiv1302.2346OpenAlexW2027155535MaRDI QIDQ375664

Xiaonan Ma, George Marinescu

Publication date: 31 October 2013

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2346

zbMATH Keywords

Kähler manifoldBergman kernel of a positive line bundle

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geometric quantization (53D50)

Related Items (4)

On a property of Bergman kernels when the Kähler potential is analytic ⋮ Variance of the volume of random real algebraic submanifolds ⋮ Asymptotic expansion of the off-diagonal Bergman kernel on compact Kähler manifolds ⋮ Scaling asymptotics for Szegő kernels on Grauert tubes

Cites Work

• Unnamed Item
• Asymptotic expansion of the off-diagonal Bergman kernel on compact Kähler manifolds
• Holomorphic Morse inequalities and Bergman kernels
• Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
• Berezin–Toeplitz quantization on Kähler manifolds
• On the asymptotic expansion of Bergman kernel

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