2 papers
math.DG2026
On the Bergman Kernel of complex hyperbolic manifolds
Jingzhou Sun
We prove a formula for the Bergman kernel of polarized complex hyperbolic manifolds. The formula expresses the Bergman kernel as a sum over the geodesic loops in the manifold. As a…
math.DG2025
On the Bergman kernel of polarized abelian varieties
Jingzhou Sun
We prove an explicit formula for the Bergman kernel of polarized abelian varieties. As applications, we show that if two positive line bundles represent the same first Chern class…