A defect relation for equidimensional holomorphic mappings between algebraic varieties
From MaRDI portal
Publication:2556522
DOI10.2307/1970871zbMath0248.32018OpenAlexW2091382452WikidataQ102255184 ScholiaQ102255184MaRDI QIDQ2556522
James A. Carlson, Phillip A. Griffiths
Publication date: 1972
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/caae18b355f80f6567f547526e4b75e9e55a5013
Invariant metrics and pseudodistances in several complex variables (32F45) Picard-type theorems and generalizations for several complex variables (32H25) Infinitesimal methods in algebraic geometry (14B10) Integration on analytic sets and spaces, currents (32C30)
Related Items (60)
Nevanlinna inequality for intersection of divisors ⋮ On Griffiths–Lang's conjecture and related topics ⋮ Topics on meromorphic mappings and defects ⋮ Intrinsic pseudo-volume forms for logarithmic pairs ⋮ Defect relations for holomorphic maps between spaces of different dimensions ⋮ The error term in Nevanlinna theory ⋮ Algebro-geometric version of Nevanlinna’s lemma on logarithmic derivative and applications ⋮ On Nevanlinna's second main theorem in projective space ⋮ The second Main theorem for meromorphic mappings into a complex projective space ⋮ Holomorphic mapping into algebraic varieties of general type, II ⋮ Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds ⋮ Nevanlinna theory via holomorphic forms ⋮ Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon ⋮ The Kähler-Ricci flow on log canonical pairs of general type ⋮ Degeneracy of holomorphic maps with ramification ⋮ Ricci flow on quasi-projective manifolds ⋮ Nevanlinna defect relations for singular divisors ⋮ Holomorphic mappings: Survey of some results and discussion of open problems ⋮ Positivity in Kähler–Einstein theory ⋮ A Hypersurface Defect Relation for a Class of Meromorphic Maps ⋮ CARLSON–GRIFFITHS THEORY FOR COMPLETE KÄHLER MANIFOLDS ⋮ A difference Picard theorem for meromorphic functions of several variables ⋮ Meromorphic maps on Riemann surfaces and transcendence ⋮ Kähler-Einstein metrics on stable varieties and log canonical pairs ⋮ Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor ⋮ Generalized Bergman kernels on symplectic manifolds ⋮ Weak Cartan-type second main theorem for holomorphic curves ⋮ Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem ⋮ Defect relations and ramification ⋮ Kähler-Ricci flow of cusp singularities on quasi projective varieties ⋮ Aspects of value distribution theory in several complex variables ⋮ AN EXTENSION OF THE CARTAN–NOCHKA SECOND MAIN THEOREM FOR HYPERSURFACES ⋮ Intrinsic distances, measures and geometric function theory ⋮ Hyperbolicity of geometric orbifolds ⋮ The limits on boundary of orbifold Kähler-Einstein metrics and Kähler-Ricci flows over quasi-projective manifolds ⋮ A defect relation for meromorphic maps on generalized p-parabolic manifolds intersecting hypersurfaces in complex projective algebraic varieties ⋮ The truncated second main theorem and uniqueness theorems ⋮ New defect relations for meromorphic functions on 𝐂ⁿ ⋮ Extending holomorphic mappings from subvarieties in Stein manifolds. ⋮ Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds ⋮ Holomorphic curves and metrics of negative curvature ⋮ Geometry of logarithmic tangent bundles and hyperbolic manifolds ⋮ Heights and metrics with logarithmic singularities ⋮ Holomorphic curves in algebraic manifolds ⋮ Boundary behavior of Kähler-Einstein metric of negative Ricci curvature over quasi-projective manifolds with boundary of general type ⋮ Value distribution theory and Diophantine approximation ⋮ The error term in Nevanlinna theory. II ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures ⋮ A general form of the second main theorem for meromorphic mappings from a \(p\)-parabolic manifold to a projective algebraic variety ⋮ The second main theorem of holomorphic curves into projective spaces ⋮ A second main theorem for holomorphic maps into the projective space with hypersurfaces ⋮ The Kobayashi-Royden metric on punctured spheres ⋮ Nevanlinna theory and holomorphic mappings between algebraic varieties ⋮ Holomorphic mappings into smooth projective varieties ⋮ Unnamed Item ⋮ On algebraic varieties whose universal covering manifolds are complex affine 3-spaces ⋮ An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter ⋮ Holomorphic mappings between spaces of different dimensions. I ⋮ The second main theorem for holomorphic curves into semi-Abelian varieties ⋮ Finiteness problem for meromorphic mappings sharing n+3 hyperplanes of Pn(C)
This page was built for publication: A defect relation for equidimensional holomorphic mappings between algebraic varieties
