Second main theorem for meromorphic mappings intersecting moving targets on parabolic manifolds

Abstract

In this paper, we establish a new second main theorem for meromorphic mappings from M into$mathbb{P}(V ) intersecting moving targets gj : M→$mathbb{P}(V∗), 1 ≤ j ≤ q, where M is a parabolic manifold and V is a Hermitian vector space. As an application, we prove the algebraic dependence problem for meromorphic mappings with moving targets in general position.