The Bergman kernel in constant curvature

Abstract

We present an elementary proof for an approximate expression of the Bergman kernel on homogeneous spaces, and products of them. The error term is exponentially small with respect to the inverse semiclassical parameter.

References in corpus (2)

• Determinantal point processes and fermions on complex manifolds: Bulk universality
• Off-diagonal asymptotic properties of Bergman kernels associated to analytic Kähler potentials

Cited by in corpus (1)

• On a property of Bergman kernels when the Kähler potential is analytic