50 research outputs found
Second main theorem and unicity of meromorphic mappings for hypersurfaces of projective varieties in subgeneral position
The purpose of this article is twofold. The first is to prove a second main
theorem for meromorphic mappings of \C^m into a complex projective variety
intersecting hypersurfaces in subgeneral position with truncated counting
functions. The second is to show a uniqueness theorem for these mappings which
share few hypersurfaces without counting multiplicity.Comment: 16 page
Degeneracy and finiteness theorems for meromorphic mappings in several complex variables
In this article, we prove that there are at most two meromorphic mappings of
into sharing
hyperplanes in general position regardless of multiplicity, where all zeros
with multiplicities more than certain values do not need to be counted. We also
show that if three meromorphic mappings of into
share hyperplanes in general
position with truncated multiplicity then the map is
linearly degenerate.Comment: This paper is accepted for publication in Chinese Annals of
Mathematics, Series B, Volume 39, No. 5 (2018
Truncated second main theorem for non-Archimedean meromorphic maps with hypersurfaces in projective varieties
Let be an algebraically closed field of characteristic ,
which is complete with respect to a non-Archimedean absolute value. Let be
a projective subvariety of . In this paper, we will
prove some second main theorems for non-Archimedean meromorphic maps of
into intersecting a family of hypersurfaces in subgeneral
position with truncated counting functions.Comment: This paper has been accepted for publication in Journal of
Mathematics and Mathematical Science
https://science.thanglong.edu.vn/index.php/volc/article/view/9
Nevanlinna theory for holomophic curves from annuli into semi Abelian varieties
In this paper, we prove a lemma on logarithmic derivative for holomorphic
curves from annuli into K\"{a}hler compact manifold and. As its application, a
second main theorem for holomophic curves from annuli into semi abelian
varieties intersecting with only one divisor is given.Comment: This paper has been accepted for publication in Mathematica Slovac