English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The paper develops an equidistribution theory of meromorphic mappings from acomplete K\"ahler manifold with non-negative Ricci curvature into a complexprojective manifold intersecting normal crossing divisors. When the domainmanifolds are of maximal volume growth, one obtains a second main theorem witha refined error term. As a result, we prove a sharp defect relation inNevanlinna theory. Furthermore, our results are applied to the propagationproblems of algebraic dependence. As major consequences, we set up severalunicity theorems for dominant meromorphic mappings on complete K\"ahlermanifolds. In particular, we prove a five-value theorem on complete K\"ahlermanifolds, which gives an extension of Nevanlinna's five-value theorem formeromorphic functions on $\mathbb C.$

Nevanlinna theory on complete K\"ahler manifolds with non-negative Ricci curvature