Boundary asymptotics of the relative Bergman kernel metric for elliptic curves II: subleading terms

DOI10.4064/ap3841-8-2016zbMath1366.32002OpenAlexW2529452483MaRDI QIDQ2836005

Robert Xin Dong

Publication date: 30 November 2016

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap3841-8-2016

zbMATH Keywords

elliptic curvesPoincaré metricvariation of the Bergman kernel

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (3)

Boundary asymptotics of the relative Bergman kernel metric for elliptic curves III: 1 & ∞ ⋮ Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves ⋮ Boundary asymptotics of the relative Bergman kernel metric for curves

Cites Work

• Unnamed Item
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
• Boundary asymptotics of the relative Bergman kernel metric for elliptic curves
• Curvature of vector bundles associated to holomorphic fibrations
• Some inequalities for the Poincaré metric of plane domains
• Strict plurisubharmonicity of Bergman kernels on generalized annuli

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