The second main theorem in the hyperbolic case

DOI10.1007/s00208-018-01797-xzbMath1441.32007arXiv1712.09576OpenAlexW2963142214WikidataQ128552732 ScholiaQ128552732MaRDI QIDQ2182399

Min Ru, Nessim Sibony

Publication date: 23 May 2020

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

Full work available at URL: https://arxiv.org/abs/1712.09576

zbMATH Keywords

Nevanlinna theoryfoliations by Riemann Surfaces

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

Related Items (13)

Second main theorem for holomorphic maps from complex disks with moving hyperplanes ⋮ A uniqueness theorem for holomorphic mappings in the disk sharing totally geodesic hypersurfaces ⋮ Generalizations of degeneracy second main theorem and Schmidt's subspace theorem ⋮ Nevanlinna theory via holomorphic forms ⋮ Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties ⋮ Big Picard theorem for jet differentials and non-Archimedean Ax-Lindemann theorem ⋮ Meromorphic maps of polydiscs in \(\mathbb{C}^m\) ⋮ Unnamed Item ⋮ Meromorphic functions with finite growth index on complex discs sharing values or pairs of values ⋮ Degeneracy and finiteness problems for holomorphic curves from a disc into \(\mathbf{P^n(\mathbb{C})}\) with finite growth index ⋮ Uniqueness results for holomorphic mappings on the disc ⋮ Algebraic degeneracy and uniqueness theorems for holomorphic curves with infinite growth index from a disc into \(\mathbb{P}^n(\mathbb{C})\) sharing \(2n+2\) hyperplanes ⋮ Further results on Nevanlinna hyperbolicity

Cites Work

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• Heat equation and ergodic theorems for Riemann surface laminations
• Riemann surface laminations with singularities
• Diophantine approximations and value distribution theory
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Holomorphic curves and metrics of negative curvature
• The second main theorem for holomorphic curves into semi-Abelian varieties
• Inexistence of invariant measures for generic rational differential equations in the complex domain
• A generalized Bloch's theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety
• Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
• Complex Analytic Mappings of Riemann Surfaces I
• Second Main Theorem of Nevalinna Theory for Nonequidimensional Meromorphic Maps
• Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees
• Holomorphic curves in Abelian varieties and intersections with higher codimensional subvarieties
• Simultaneous uniformization for the leaves of projective foliations by curves

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