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

Authors: JIALI CHEN, QINGCAI ZHANG

Abstract: In this paper, we establish a new second main theorem for meromorphic mappings from $M$ into $\mathbb{P}(V)$ intersecting moving targets $g_{j}:M\rightarrow\mathbb{P}(V^{\ast}),\ 1\leq j\leq q,$ 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.

Keywords: Second main theorem, meromorphic mappings, algebraic dependence problem, parabolic manifolds, moving targets

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