Holomorphic curves in Abelian varieties and intersections with higher codimensional subvarieties

DOI10.1515/form.2004.035zbMath1073.32007OpenAlexW2021494526MaRDI QIDQ4656460

Katsutoshi Yamanoi

Publication date: 11 March 2005

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2004.035

zbMATH Keywords

Abelian varietyholomorphic curvesNevanlinna-theoryhigher-codimensional subvariety

Mathematics Subject Classification ID

Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Value distribution theory in higher dimensions (32H30)

Related Items (16)

On the set of divisors with zero geometric defect ⋮ Degeneracy of holomorphic curves into algebraic varieties ⋮ Greatest common divisors of integral points of numerically equivalent divisors ⋮ The second main theorem in the hyperbolic case ⋮ Upper bounds of GCD counting function for holomorphic maps ⋮ Entire holomorphic curves into projective spaces intersecting a generic hypersurface of high degree ⋮ A new unicity theorem and Erdös' problem for polarized semi-abelian varieties ⋮ Analytic Ax-Schanuel for semi-abelian varieties and Nevanlinna theory ⋮ Multiple values and uniqueness problem of holomorphic mappings in Riemann surfaces ⋮ Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori ⋮ A geometric second main theorem ⋮ Orbifold hyperbolicity ⋮ On fundamental groups of algebraic varieties and value distribution theory ⋮ Uniqueness of holomorphic curves into abelian varieties ⋮ Holomorphic curves in algebraic varieties of maximal albanese dimension ⋮ Hyperbolicity and specialness of symmetric powers

Cites Work

• The value distribution of holomorphic curves into semi-Abelian varieties
• Unnamed Item

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