Nevanlinna theory for meromorphic maps from a closed submanifold of $\mathbb{C}^l$ to a compact complex manifold
Abstract
The purpose of this article is threefold. The first is to construct a Nevanlina theory for meromorphic mappings from a polydisc to a compact complex manifold. In particular, we give a simple proof of Lemma on logarithmic derivative for nonzero meromorphic functions on $\mathbb{C}^l.$ The second is to improve the definition of the nonintegrated defect relation of H. Fujimoto \cite{F2} and to show two theorems on the new nonintegrated defect relation of meromorphic maps from a closed submanifold of $\mathbb{C}^l$ to a compact complex manifold. The third is to give a unicity theorem for meromorphic mappings from a Stein manifold to a compact complex manifold.
 Publication:

arXiv eprints
 Pub Date:
 February 2013
 arXiv:
 arXiv:1302.1107
 Bibcode:
 2013arXiv1302.1107T
 Keywords:

 Mathematics  Complex Variables;
 Primary 32H30;
 Secondary 32H04;
 32H25;
 14J70
 EPrint:
 The proof of the main result of this paper is not correct. We cannot rectify it. So we would like to withdraw it