paper

Nevanlinna-type theory based on heat diffusion

arXiv:2006.04572

Abstract

We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete Kähler manifold into a complex projective manifold. When certain curvature conditions are imposed, the Nevanlinna-type defect relation based on heat diffusion is derived.

arXiv commentThe final version, accepted by Asian J. Math