Estimates of Bergman kernels and Bergman metric on compact Picard surfaces

DOI10.1016/j.jmaa.2023.128069arXiv2312.11824OpenAlexW4390277717MaRDI QIDQ6198296

Debasish Sadhukhan, Anilatmaja Aryasomayajula, Dyuti Roy

Publication date: 21 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.11824

zbMATH Keywords

Bergman metricball quotientsPicard cusp forms

Mathematics Subject Classification ID

Riemann surfaces (30Fxx) Holomorphic functions of several complex variables (32Axx) Global differential geometry (53Cxx)

Cites Work

• On the Kähler metrics over \(\operatorname{Sym}^d(X)\)
• Szegő kernels and Poincaré series
• Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation
• Estimates of the Bergman kernel on a hyperbolic Riemann surface of finite volume. II
• Exponential estimate for the asymptotics of Bergman kernels
• Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume
• CONVERGENCE OF THE HEAT KERNEL AND THE RESOLVENT KERNEL ON DEGENERATING HYPERBOLIC RIEMANN SURFACES OF FINITE VOLUME
• Bergman kernel on Riemann surfaces and Kähler metric on symmetric products