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
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Abstract 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.
AbstractList 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.
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.
Author Van Tan, Tran
Dethloff, Gerd
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10.1512/iumj.1979.28.28044
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10.1093/imrn/rnu126
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10.1142/S1793042115500086
10.1353/ajm.2004.0034
10.4007/annals.2009.169.255
10.1007/978-3-211-74280-8_9
10.1007/s00208-018-1661-4
10.1007/s00209-018-2138-6
10.1007/978-3-642-15945-9_3
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Diophantine approximation
Nevanlinna theory
Vojta’s dictionary
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References Ru (CR12) 1997; 349
Dethloff, Tan (CR5) 2011; 37
Zariski (CR19) 1937; 41
Hartshorne (CR8) 1977
CR18
Son, Tan, Thin (CR16) 2018; 186
CR17
CR9
Ru (CR13) 2004; 126
Shiffman (CR15) 1979; 28
Chen, Ru, Yan (CR2) 2012; 55
Evertse, Ferretti (CR7) 2008; 16
Le (CR10) 2015; 11
Chen, Ru, Yan (CR3) 2015; 2015
Matsumura (CR11) 1980
Chen, Ru, Yan (CR1) 2010; 53
Corvaja, Zannier (CR4) 2004; 126
Ru (CR14) 2009; 169
Evertse, Ferretti (CR6) 2002; 25
R Hartshorne (336_CR8) 1977
B Shiffman (336_CR15) 1979; 28
O Zariski (336_CR19) 1937; 41
Z Chen (336_CR2) 2012; 55
M Ru (336_CR14) 2009; 169
336_CR18
336_CR17
G Dethloff (336_CR5) 2011; 37
Z Chen (336_CR1) 2010; 53
336_CR9
NT Son (336_CR16) 2018; 186
G Le (336_CR10) 2015; 11
M Ru (336_CR12) 1997; 349
P Corvaja (336_CR4) 2004; 126
H Matsumura (336_CR11) 1980
Z Chen (336_CR3) 2015; 2015
JH Evertse (336_CR7) 2008; 16
JH Evertse (336_CR6) 2002; 25
M Ru (336_CR13) 2004; 126
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Snippet In Ru (Ann. Math. 169 , 255–267 2009 ), Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties...
In Ru (Ann. Math. 169, 255–267 2009), Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties...
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SubjectTerms Hyperspaces
Mathematical analysis
Mathematics
Mathematics and Statistics
Title Holomorphic Curves into Algebraic Varieties Intersecting Moving Hypersurface Targets
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