On the first order asymptotics of partial Bergman kernels

DOI10.5802/afst.1564zbMath1394.32015arXiv1601.00241OpenAlexW3099752090MaRDI QIDQ4609687

Dan Coman, George Marinescu

Publication date: 23 March 2018

Published in: Annales de la Faculté des sciences de Toulouse : Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00241

zbMATH Keywords

Bergman kernel functionsingular Hermitian metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Bergman spaces of functions in several complex variables (32A36)

Related Items (4)

Quotient of Bergman kernels on punctured Riemann surfaces ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ Bergman kernels on punctured Riemann surfaces ⋮ Logarithmic Bergman kernel and conditional expectation of Gaussian holomorphic fields

Cites Work

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• Equidistribution for sequences of line bundles on normal Kähler spaces
• Holomorphic Morse inequalities and Bergman kernels
• Asymptotics of partial density functions for divisors
• Toric partial density functions and stability of toric varieties
• An obstruction to the existence of constant scalar curvature Kähler metrics
• Analytic test configurations and geodesic rays
• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
• Equidistribution results for singular metrics on line bundles
• Random polynomials with prescribed Newton polytope
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• Bergman kernels on punctured Riemann surfaces

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