On the asymptotic behavior of Bergman kernels for positive line bundles

DOI10.2140/pjm.2017.289.71zbMath1379.32026arXiv1602.06008OpenAlexW3100415885MaRDI QIDQ2397831

Tien-Cuong Dinh, Xiaonan Ma, Viêt-Anh Nguyên

Publication date: 23 May 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06008

zbMATH Keywords

asymptotic expansionDirac operatorBergman kernelLaplacian operatoruniform estimate

Mathematics Subject Classification ID

Holomorphic bundles and generalizations (32L05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) General pluripotential theory (32U15)

Related Items (3)

Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds ⋮ Bergman kernels on punctured Riemann surfaces ⋮ On the full asymptotics of analytic torsion

Cites Work

• Fekete points and convergence towards equilibrium measures on complex manifolds
• A closed formula for the asymptotic expansion of the Bergman kernel
• On a set of polarized Kähler metrics on algebraic manifolds
• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
• Exponential estimate for the asymptotics of Bergman kernels
• Unnamed Item
• Unnamed Item

This page was built for publication: On the asymptotic behavior of Bergman kernels for positive line bundles