Non-archimedean analytic curves in the complements of hypersurface divisors

DOI10.1016/j.jnt.2007.10.011zbMath1169.14018arXiv2004.10625OpenAlexW3020532012MaRDI QIDQ1024410

Pit-Mann Wong, Ta Thi Hoai An, Julie Tzu-Yueh Wang

Publication date: 17 June 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10625

zbMATH Keywords

Nevanlinna theoryhyperbolicitynon-Archimedean analytic spaces

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Rigid analytic geometry (14G22) Non-Archimedean analysis (32P05)

Related Items

Random weighting estimation of stable exponent ⋮ Algebraic degeneracy of non-Archimedean analytic maps ⋮ Generalizations of rigid analytic Picard theorems ⋮ On the $p$-adic Second Main Theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Picard-type theorems for holomorphic mappings
• Non-Archimedean analytic curves in Abelian varieties
• On the hyperbolicity of the complements of curves in algebraic surfaces: The three-component case
• A note on $p$-adic Nevanlinna theory
• Integral points and the hyperbolicity of the complement of hypersurfaces.
• A defect relation for non-Archimedean analytic curves in arbitrary projective varieties
• STABILITY OF HYPERBOLIC IMBEDDEDNESS AND CONSTRUCTION OF EXAMPLES
• The Hyperbolicity of the Complement of 2n + 1 Hyperplanes in General Position in P n , and Related Results
• Rigid analytic Picard theorems
• Hyperbolicity of the Complements of Plane Algebraic Curves