Holomorphic mappings: Survey of some results and discussion of open problems

DOI10.1090/S0002-9904-1972-12905-7zbMath0239.32017OpenAlexW2093789447MaRDI QIDQ5651004

Phillip A. Griffiths

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-12905-7

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (10)

On Griffiths–Lang's conjecture and related topics ⋮ Topics on meromorphic mappings and defects ⋮ A Hypersurface Defect Relation for a Class of Meromorphic Maps ⋮ Analytic Ax-Schanuel for semi-abelian varieties and Nevanlinna theory ⋮ Higher dimensional generalizations of twistor spaces ⋮ Intrinsic distances, measures and geometric function theory ⋮ Holomorphic curves in algebraic manifolds ⋮ Value distribution theory and Diophantine approximation ⋮ The second main theorem of holomorphic curves into projective spaces ⋮ Holomorphic mappings into smooth projective varieties

Cites Work

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• Remarks on the first main theorem in equidistribution theory. I
• Value distribution of holomorphic maps into compact complex manifolds
• A defect relation for equidimensional holomorphic mappings between algebraic varieties
• Some Degeneracy Theorems for Entire Functions with Values in an Algebraic Variety
• Holomorphic Maps into Complex Projective Space Omitting Hyperplanes

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