Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus
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Publication:5075710
DOI10.21915/BIMAS.2022101zbMath1487.32017WikidataQ114005147 ScholiaQ114005147MaRDI QIDQ5075710
Publication date: 11 May 2022
Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)
Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
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- Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model
- Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
- Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
- On a set of polarized Kähler metrics on algebraic manifolds
- A direct approach to Bergman kernel asymptotics for positive line bundles
- Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
- Bergman kernel from path integral
- A vanishing theorem for semipositive line bundles over non-Kähler manifolds
- Canonical coordinates and Bergmann metrics
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- Spectral theory for tensor products of Hermitian holomorphic line bundles
- Scalar curvature and projective embeddings. I
- Convergence de la mêtrique de Fubini-Study d'un fibré linéaire positif. (Convergence of the Fubini-Study metric of a positive line bundle.)
- Two vanishing theorems for holomorphic vector bundles of mixed sign
- Analytic Bergman operators in the semiclassical limit
- Holomorphic Morse inequalities and Bergman kernels
- Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Bergman kernel asymptotics through perturbation
- Berezin–Toeplitz quantization on Kähler manifolds
- Bergman Kernel Asymptotics and a Pure Analytic Proof of the Kodaira Embedding Theorem
- Differential Analysis on Complex Manifolds
- Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
- Functional Analysis
- THE FIRST COEFFICIENTS OF THE ASYMPTOTIC EXPANSION OF THE BERGMAN KERNEL OF THESpincDIRAC OPERATOR
- Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
- Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Hilbert Space Methods in the Theory of Harmonic Integrals
- Generalized Bergman kernels on symplectic manifolds
- On the asymptotic expansion of Bergman kernel
