Holomorphic curves and integral points off divisors

DOI10.1007/s002090100327zbMath1011.32012arXivmath/9902014OpenAlexW2014986890MaRDI QIDQ1601785

Junjiro Noguchi, Jörg Winkelmann

Publication date: 27 June 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9902014

zbMATH Keywords

holomorphic curvesemiabelian varietyintegral pointBloch-Ochiai theorem

Mathematics Subject Classification ID

Rational points (14G05) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Value distribution theory in higher dimensions (32H30) Approximation to algebraic numbers (11J68)

Related Items (21)

NEVANLINNA THEORY FOR HOLOMORPHIC CURVES FROM PUNCTURED DISKS INTO SEMI-ABELIAN VARIETIES ⋮ Degeneracy of holomorphic curves into algebraic varieties ⋮ Generalizations of Picard's theorem with moving hypersurfaces ⋮ The second Main theorem for meromorphic mappings into a complex projective space ⋮ Picard theorem for holomorphic curves from a punctured disc into \(\mathbb{P}^n(\mathbb{C})\) with few hypersurfaces in subgeneral position ⋮ Hyperbolicity and integral points off divisors in subgeneral position in projective algebraic varieties ⋮ Extension of holomorphic mappings for several moving hypersurfaces ⋮ Urata's theorem in the logarithmic case and applications to integral points ⋮ Integral points of bounded degree on affine curves ⋮ Quadratic integral solutions to double Pell equations ⋮ Degeneracy of holomorphic curves in surfaces ⋮ Logarithmic surfaces and hyperbolicity ⋮ Diophantine approximation ⋮ AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES ⋮ Supplement and Erratum to ``Algebraic degeneracy of non-Archimedean analytic maps ⋮ Algebraic degeneracy of non-Archimedean analytic maps ⋮ Weak normal and quasinormal families of holomorphic curves ⋮ Generalizations of Siegel's and Picard's theorems ⋮ Normal Families of meromorphic mappings of several complex variables into P^N(C) ⋮ Entire curves, integral sets and principal bundles ⋮ The second main theorem for holomorphic curves into semi-Abelian varieties

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