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    The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

    The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

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    • Bog, paperback
    • Engelsk

    Beskrivelse

    This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the main theorems of the subject are proved for such surfaces. The author discusses several directions for further research.

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  • Vægt369 g
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    10 cm
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    15,2 cm
    22,9 cm

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    Geometry Addition Differential geometry Cauchy-Riemann equations Dimension Nevanlinna theory Euler characteristic Remainder Covariant derivative Hermann Weyl Vector field Fiber bundle Harmonic function Riemann surface Holomorphic function Hermitian manifold Differential geometry of surfaces Improper integral Theorem Parameter Complex projective space Compact space Smoothness Manifold Meromorphic function Line integral QED Tangent Space Gaussian curvature Complex manifold Divisor Computation Minimal surface Algebraic curve Critical Value Hypersurface Tangent Riemann sphere Submanifold Algebraic Number Atlas (topology) Binomial coefficient Compact Riemann surface Diagram (category theory) Existential quantification Geodesic curvature Continuous function (set theory) Curvature form Homology (mathematics) Differential form Hyperbolic manifold Hyperplane Intersection number (graph theory) Essential Singularity Grassmannian Open problem Open Set Orthogonal complement Product metric Isometry Three-dimensional space (mathematics) Unit vector One-form Picard theorem Volume form Subset Special case Volume element

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