Boundary asymptotics of the relative Bergman kernel metric for elliptic curves

DOI10.1016/j.crma.2015.04.015zbMath1320.32004OpenAlexW2238332696MaRDI QIDQ2352222

Robert Xin Dong

Publication date: 30 June 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.04.015

zbMATH Keywords

elliptic curvesBergman kernel form

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (4)

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

Cites Work

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• Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
• A proof of the Ohsawa-Takegoshi theorem with sharp estimates
• On the extension of \(L^ 2\) holomorphic functions
• Variation of Bergman metrics on Riemann surfaces
• On Calabi's conjecture for complex surfaces with positive first Chern class
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
• Bergman kernels and the pseudoeffectivity of relative canonical bundles
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Curvature of vector bundles associated to holomorphic fibrations

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