Leseprobe
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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85
Phillip A. Griffiths
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
Kundenbewertungen
Differential form, Gaussian curvature, Ricci curvature, Corollary, Unit square, Hodge theory, Big O notation, Nevanlinna theory, Special case, Theory, Exponential growth, Characterization (mathematics), Cartesian coordinate system, Hermann Weyl, Infinite product, Equation, Subset, Analytic function, Canonical bundle, Dimension, Monograph, Chern class, Armand Borel, Inverse problem, Scientific notation, Theorem, Integral geometry, Polynomial, Degeneracy (mathematics), Q.E.D., Analytic set, Meromorphic function, Complex manifold, Stokes' theorem, Compact space, Summation, Manifold, Volume form, Riemann sphere, Modular form, Quantity, Compact Riemann surface, Counting, Linear equation, Algebraic variety, Logarithmic derivative, Invariant measure, Complex analysis, Hypersurface, Picard theorem, Divisor, Holomorphic function, Complex projective space, Curvature, Elementary proof, Jacobian matrix and determinant, Projective space, Derivative, Entire function, Uniformization theorem, Phillip Griffiths, Line bundle, Hyperplane, Characteristic function (probability theory), Nonlinear system, Several complex variables, Kähler manifold