Abstract: We establish local asymptotic estimates of partial Bergman kernels on closed $S^1$-symmetric Kähler manifolds. The main result addresses the scaling asymptotics of partial Bergman kernels at generic off-diagonal points in which they are not negligible. The example of the two-dimensional sphere will be discussed in detail.
Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric Kähler manifolds
2024/05/22 (Wed.) 10:30~11:30