Holomorphic Curves into Algebraic Varieties Intersecting Moving Hypersurface Targets

In Ru (Ann. Math. 169 , 255–267 2009 ), Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties intersecting fixed hypersurface targets. In this paper, by introducing a new proof method for the case of projective varieties, we generalize...

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Published inActa mathematica vietnamica Vol. 45; no. 1; pp. 291 - 308
Main Authors Dethloff, Gerd, Van Tan, Tran
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.03.2020
Springer Nature B.V
Subjects
Hyperspaces
Mathematical analysis
Mathematics
Mathematics and Statistics
32H30
11J87
Diophantine approximation
Nevanlinna theory
Vojta’s dictionary
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Summary:In Ru (Ann. Math. 169 , 255–267 2009 ), Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties intersecting fixed hypersurface targets. In this paper, by introducing a new proof method for the case of projective varieties, we generalize this result to moving hypersurface targets.
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-019-00336-3