The second Main theorem for meromorphic mappings into a complex projective space
From MaRDI portal
Publication:356545
DOI10.1007/s40306-013-0011-6zbMath1375.32033OpenAlexW1998872589MaRDI QIDQ356545
Do Duc Thai, Si Duc Quang, Do Phuong An
Publication date: 26 July 2013
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40306-013-0011-6
Meromorphic mappings in several complex variables (32H04) Hypersurfaces and algebraic geometry (14J70) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)
Related Items (10)
RAMIFICATION OVER HYPERSURFACES LOCATED IN SUBGENERAL POSITION OF THE GAUSS MAP OF COMPLETE MINIMAL SURFACES WITH FINITE TOTAL CURVATURE ⋮ Second main theorem and unicity of meromorphic mappings for hypersurfaces in projective varieties ⋮ Picard theorem for holomorphic curves from a punctured disc into \(\mathbb{P}^n(\mathbb{C})\) with few hypersurfaces in subgeneral position ⋮ Entire holomorphic curves into projective spaces intersecting a generic hypersurface of high degree ⋮ Uniqueness theorems for holomorphic curves with hypersurfaces of Fermat-Waring type ⋮ Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces ⋮ The Gauss map of algebraic complete minimal surfaces omits hypersurfaces in subgeneral position ⋮ A second main theorem for holomorphic maps into the projective space with hypersurfaces ⋮ Degeneracy second main theorem for meromorphic mappings and moving hypersurfaces with truncated counting functions and applications ⋮ Unicity theorem for generalized Gauss maps of immersed harmonic surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Defect relations for holomorphic maps between spaces of different dimensions
- On holomorphic curves in semi-Abelian varieties
- Holomorphic curves and integral points off divisors
- The second main theorem for holomorphic curves into semi-Abelian varieties
- Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs
- Holomorphic curves into algebraic varieties
- A defect relation for equidimensional holomorphic mappings between algebraic varieties
- Nevanlinna theory and holomorphic mappings between algebraic varieties
- A note on entire pseudo-holomorphic curves and the proof of Cartan-Nochka's theorem
- Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
- AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES
- THE SECOND MAIN THEOREM FOR HYPERSURFACES
- An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space
- The second main theorem for holomorphic curves into semiabelian varieties II
- A uniqueness theorem for holomorphic curves sharing hypersurfaces
- Lemma on logarithmic derivatives and holomorphic curves in algebraic varieties
- Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees
- A defect relation for holomorphic curves intersecting hypersurfaces
This page was built for publication: The second Main theorem for meromorphic mappings into a complex projective space