Second main theorem and uniqueness theorem with moving targets on parabolic manifolds

作者：Yan, Qiming^*

来源：Journal of Mathematical Analysis and Applications, 2015, 422(1): 456-477.

DOI：10.1016/j.jmaa.2014.08.048

• Second main theorem
• Uniqueness theorem
• Parabolic manifolds
• Value distribution theory
• Moving targets

In this paper, with the motivation from Diophantine approximation, a truncated second main theorem is established for meromorphic maps from M into P(V) with moving targets g(j) : M -> P(V*), 1 <= j <= q, where M is a parabolic manifold and V is a Hermitian vector space. As an application of this second main theorem, a uniqueness theorem without counting multiplicities is given.

• 出版日期2015-2-1
• 单位同济大学