Entire Holomorphic Mappings in One and Several Complex Variables
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A01=Phillip A. Griffiths
Algebraic variety
Analytic function
Analytic set
Armand Borel
Author_Phillip A. Griffiths
Big O notation
Canonical bundle
Cartesian coordinate system
Category=PBKD
Category=PBKQ
Characteristic function (probability theory)
Characterization (mathematics)
Chern class
Compact Riemann surface
Compact space
Complex analysis
Complex manifold
Complex projective space
Corollary
Counting
Curvature
Degeneracy (mathematics)
Derivative
Differential form
Dimension
Divisor
Elementary proof
Entire function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Exponential growth
Gaussian curvature
Hermann Weyl
Hodge theory
Holomorphic function
Hyperplane
Hypersurface
Infinite product
Integral geometry
Invariant measure
Inverse problem
Jacobian matrix and determinant
Kahler manifold
Line bundle
Linear equation
Logarithmic derivative
Manifold
Meromorphic function
Modular form
Monograph
Nevanlinna theory
Nonlinear system
Phillip Griffiths
Picard theorem
Polynomial
Projective space
Q.E.D.
Quantity
Ricci curvature
Riemann sphere
Scientific notation
Several complex variables
Special case
Stokes' theorem
Subset
Summation
Theorem
Theory
Uniformization theorem
Unit square
Volume form
Product details
- ISBN 9780691081724
- Weight: 170g
- Dimensions: 152 x 229mm
- Publication Date: 21 Feb 1976
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974. In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order. Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.
