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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths



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Autore: Griffiths Phillip A. Visualizza persona
Titolo: Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths Visualizza cluster
Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]
©1976
Descrizione fisica: 1 online resource (112 pages) : illustrations
Disciplina: 515/.9
Soggetto topico: Holomorphic mappings
Soggetto non controllato: Algebraic variety
Analytic function
Analytic set
Armand Borel
Big O notation
Canonical bundle
Cartesian coordinate system
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
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
Kähler 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
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter
Sommario/riassunto: 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.
Titolo autorizzato: Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85  Visualizza cluster
ISBN: 1-4008-8148-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910154753903321
Lo trovi qui: Univ. Federico II
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Serie: Annals of mathematics studies ; ; Number 85.