Holomorphic Lefschetz fixed point formula for non-compact Kähler manifolds

Abstract

The authors obtain a holomorphic Lefschetz fixed point formula for certain non-compact “hyperbolic” Kähler manifolds (e.g. Kähler hyperbolic manifolds, bounded domains of holomorphy) by using the Bergman kernel. This result generalizes the early work of Donnelly and Fefferman.

Keywords

Lefschetz fixed point formula / Bergman kernel

References

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