Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric K\"{a}hler manifolds
Complex Variables
2025-10-02 v1 Mathematical Physics
math.MP
Symplectic Geometry
Spectral Theory
Abstract
We establish local asymptotic estimates of partial Bergman kernels on closed, -symmetric K\"{a}hler manifolds. The main result concerns the scaling asymptotics of partial Bergman kernels at generic off-diagonal points in which they are not negligible. The case of the two-dimensional sphere is discussed in detail.
Keywords
Cite
@article{arxiv.2401.15416,
title = {Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric K\"{a}hler manifolds},
author = {Ood Shabtai},
journal= {arXiv preprint arXiv:2401.15416},
year = {2025}
}
Comments
28 pages, 3 figures