04835nam 22013455 450 991015475390332120190708092533.01-4008-8148-X10.1515/9781400881482(CKB)3710000000620066(SSID)ssj0001651268(PQKBManifestationID)16425332(PQKBTitleCode)TC0001651268(PQKBWorkID)14692797(PQKB)10264455(MiAaPQ)EBC4738512(DE-B1597)467954(OCoLC)979911331(DE-B1597)9781400881482(EXLCZ)99371000000062006620190708d2016 fg engurcnu||||||||txtccrEntire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 /Phillip A. GriffithsPrinceton, NJ : Princeton University Press, [2016]©19761 online resource (112 pages) illustrationsAnnals of Mathematics Studies ;230Bibliographic Level Mode of Issuance: Monograph0-691-08171-9 0-691-08172-7 Includes bibliographical references.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 -- BackmatterThe 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.Annals of mathematics studies ;Number 85.Holomorphic mappingsAlgebraic 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.Holomorphic mappings.515/.9Griffiths Phillip A., 57421DE-B1597DE-B1597BOOK9910154753903321Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 852788315UNINA