A defect relation for non-Archimedean analytic curves in arbitrary projective varieties

DOI10.1090/S0002-9939-06-08591-1zbMath1136.32008MaRDI QIDQ3425969

Ta Thi Hoai An

Publication date: 7 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Nevanlinna theoryanalytic curvesnon-Archimedean fields

Mathematics Subject Classification ID

Heights (11G50) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Non-Archimedean valued fields (12J25) Value distribution theory in higher dimensions (32H30) Non-Archimedean analysis (32P05)

Related Items (11)

The concepts of general position and a second main theorem for non-linear divisors ⋮ A Picard-type theorem and a uniqueness theorem of non-Archimedean analytic curves in projective space ⋮ P-adic Nevanlinna theory outside of a hole ⋮ Hensley's problem for complex and non-Archimedean meromorphic functions ⋮ Algebraic degeneracy of non-Archimedean analytic maps ⋮ UNIQUENESS FOR SINGULAR SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS II ⋮ On the Nevanlinna-Cartan second main theorem for non-Archimedean holomorphic curves ⋮ Non-archimedean analytic curves in the complements of hypersurface divisors ⋮ Generalizations of rigid analytic Picard theorems ⋮ New applications of the \(p\)-adic Nevanlinna theory ⋮ On the $p$-adic Second Main Theorem

Cites Work

• Unnamed Item
• Number theory III: Diophantine geometry
• A further improvement of the quantitative subspace theorem
• A note on $p$-adic Nevanlinna theory
• Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem

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