An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space
From MaRDI portal
Publication:3182304
zbMath1186.30031arXiv0708.0913MaRDI QIDQ3182304
Ha Tran Phuong, Ta Thi Hoai An
Publication date: 8 October 2009
Full work available at URL: https://arxiv.org/abs/0708.0913
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Meromorphic functions of one complex variable (general theory) (30D30) Value distribution theory in higher dimensions (32H30) Non-Archimedean analysis (32P05)
Related Items (24)
On fundamental theorems for holomorphic curves on an annulus intersecting hypersurfaces ⋮ Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into $\mathbb{P}^{n}(\mathbb{C})$ intersecting hypersurfaces ⋮ An improvement of Chen-Ru-Yan's degenerated second main theorem ⋮ Second main theorem for meromorphic mappings with moving hypersurfaces in subgeneral position ⋮ A uniqueness theorem for holomorphic mappings in the disk sharing totally geodesic hypersurfaces ⋮ Generalizations of degeneracy second main theorem and Schmidt's subspace theorem ⋮ The second Main theorem for meromorphic mappings into a complex projective space ⋮ A note on Cartan's second main theorem for holomorphic curve intersecting hypersurface ⋮ Value distribution of \(q\)-differences of meromorphic functions in several complex variables ⋮ 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 ⋮ On fundamental theorems for holomorphic curves on the annuli ⋮ Extension of holomorphic mappings for several moving hypersurfaces ⋮ Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties ⋮ Second main theorems for meromorphic mappings with moving hypersurfaces and a uniqueness problem ⋮ Value distribution theory on angular domains for holomorphic mappings and arbitrary families of moving hypersurfaces ⋮ Second main theorem and unicity theorem for meromorphic mappings sharing moving hypersurfaces regardless of multiplicity ⋮ A uniqueness theorem for holomorphic curves sharing hypersurfaces ⋮ A non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting hypersurfaces ⋮ Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces ⋮ On uniqueness theorems for holomorphic curves sharing hypersurfaces without counting multiplicity ⋮ 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 ⋮ A unicity theorem for meromorphic maps of a complete Kähler manifold into ℙⁿ(ℂ) sharing hypersurfaces
This page was built for publication: An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space