The degenerated second main theorem and Schmidt’s subspace theorem

In this paper, we establish a Second Main Theorem for an algebraically degenerate holomorphic curve f : ℂ → ℙ n (ℂ) intersecting hypersurfaces in general position. The related Diophantine problems are also considered.

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Bibliographic Details
Published inScience China. Mathematics Vol. 55; no. 7; pp. 1367 - 1380
Main Authors Chen, ZhiHua, Ru, Min, Yan, QiMing
Format Journal Article
LanguageEnglish
Published Heidelberg SP Science China Press 01.07.2012
Subjects
Algebra
Applications of Mathematics
China
Mathematical analysis
Mathematics
Mathematics and Statistics
Subspaces
Theorems
Second Main Theorem
32H30
11J25
11J68
Diophantine approximation
holomorphic curve
Nevanlinna theory
Schmidt’s Subspace Theorem
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Summary:In this paper, we establish a Second Main Theorem for an algebraically degenerate holomorphic curve f : ℂ → ℙ n (ℂ) intersecting hypersurfaces in general position. The related Diophantine problems are also considered.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-012-4378-y