Equidistribution Theory of Holomorphic Curves
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A01=Hung-his Wu
A01=Hung-Hsi Wu
Addition
Algebraic curve
Algebraic number
Atlas (topology)
Author_Hung-his Wu
Author_Hung-Hsi Wu
Binomial coefficient
Category=PB
Cauchy-Riemann equations
Compact Riemann surface
Compact space
Complex manifold
Complex projective space
Computation
Continuous function (set theory)
Covariant derivative
Critical value
Curvature form
Diagram (category theory)
Differential form
Differential geometry
Differential geometry of surfaces
Dimension
Divisor
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Essential singularity
Euler characteristic
Existential quantification
Fiber bundle
Gaussian curvature
Geodesic curvature
Geometry
Grassmannian
Harmonic function
Hermann Weyl
Hermitian manifold
Holomorphic function
Homology (mathematics)
Hyperbolic manifold
Hyperplane
Hypersurface
Improper integral
Intersection number (graph theory)
Isometry
Line integral
Manifold
Meromorphic function
Minimal surface
Nevanlinna theory
One-form
Open problem
Open set
Orthogonal complement
Parameter
Picard theorem
Product metric
Q.E.D.
Remainder
Riemann sphere
Riemann surface
Smoothness
Special case
Submanifold
Subset
Tangent
Tangent space
Theorem
Three-dimensional space (mathematics)
Unit circle
Unit vector
Vector field
Volume element
Volume form
Product details
- ISBN 9780691080734
- Weight: 369g
- Dimensions: 152 x 229mm
- Publication Date: 21 Feb 1970
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
