Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus (Q5075710)

scientific article; zbMATH DE number 7525096

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English	Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus	scientific article; zbMATH DE number 7525096

Statements

instance of

scholarly article

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title

Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus (English)

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author

Yu-Chi Hou

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published in

Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES

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publication date

11 May 2022

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zbMATH Keywords

Bergman kernel

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holomorphic line bundle

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MaRDI profile type

MaRDI publication profile

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cites work

A direct approach to Bergman kernel asymptotics for positive line bundles

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Toeplitz quantization of Kähler manifolds and $gl(N)$, $N\to \infty$ limits

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Two vanishing theorems for holomorphic vector bundles of mixed sign

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Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles

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Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities

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Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof

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Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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Bergman kernel from path integral

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On the asymptotic expansion of Bergman kernel

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Scalar curvature and projective embeddings. I

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Spectral theory for tensor products of Hermitian holomorphic line bundles

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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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Hilbert Space Methods in the Theory of Harmonic Integrals

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$L^ 2$ estimates and existence theorems for the $\partial$-operator

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Q3995750

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Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model

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Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles

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Bergman Kernel Asymptotics and a Pure Analytic Proof of the Kodaira Embedding Theorem

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THE FIRST COEFFICIENTS OF THE ASYMPTOTIC EXPANSION OF THE BERGMAN KERNEL OF THE<font>Spin</font><sup>c</sup>DIRAC OPERATOR

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Holomorphic Morse inequalities and Bergman kernels

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Generalized Bergman kernels on symplectic manifolds

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Canonical coordinates and Bergmann metrics

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Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results

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Bergman kernel asymptotics through perturbation

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A vanishing theorem for semipositive line bundles over non-Kähler manifolds

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On a set of polarized Kähler metrics on algebraic manifolds

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Differential Analysis on Complex Manifolds

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Functional Analysis

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Identifiers

zbMATH Open document ID

1487.32017

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DOI

10.21915/BIMAS.2022101

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5075710