Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds
DOI10.1016/j.aim.2022.108854OpenAlexW4318381332MaRDI QIDQ2685674
Xiaonan Ma, Wen Lu, Dan Coman, George Marinescu
Publication date: 22 February 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12019
Bergman kernelzeros of random holomorphic sectionsapproximation of currents by analytic setsnon-integral Kähler metric
Geometric probability and stochastic geometry (60D05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Zero sets of holomorphic functions of several complex variables (32A60) Currents (32U40)
Cites Work
- Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles
- General concept of quantization
- Equidistribution for sequences of line bundles on normal Kähler spaces
- Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann
- The spin\(^{\mathbf c}\) Dirac operator on high tensor powers of a line bundle
- Intrinsic capacities on compact Kähler manifolds
- On a set of polarized Kähler metrics on algebraic manifolds
- Toeplitz operators on symplectic manifolds
- Number variance of random zeros on complex manifolds
- A local index theorem for non-Kähler manifolds
- Complex immersions and Quillen metrics
- Distribution of zeros of random and quantum chaotic sections of positive line bundles
- Scalar curvature and projective embeddings. I
- Approximation and equidistribution results for pseudo-effective line bundles
- Equidistribution of zeros of holomorphic sections in the non-compact setting
- Holomorphic Morse inequalities and Bergman kernels
- On the asymptotic behavior of Bergman kernels for positive line bundles
- Distribution of the values of meromorphic transformations and applications
- CONVERGENCE OF FUBINI–STUDY CURRENTS FOR ORBIFOLD LINE BUNDLES
- On the approximation of positive closed currents on compact Kaehler manifolds
- Equidistribution results for singular metrics on line bundles
- Hölder Singular Metrics on Big Line Bundles and Equidistribution
- Generalized Bergman kernels on symplectic manifolds
- On the asymptotic expansion of Bergman kernel
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds
