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Seminar on Several Complex Variables

Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric Kähler manifolds


  • Date : 2024/05/22 (Wed.) 10:30~11:30
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Ood Shabtai (Université Paris Cité)
  • Organizer : Chin-Yu Hsiao (AS)

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.

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