The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /

The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu.

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 o...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Wu, Hung-his,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1970
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 64
Online Access:
Physical Description:1 online resource (250 p.)
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245 1 4 |a The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /  |c Hung-his Wu. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1970 
300 |a 1 online resource (250 p.) 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a Annals of Mathematics Studies ;  |v 64 
505 0 0 |t Frontmatter --   |t PREFACE --   |t INTRODUCTION --   |t CONTENTS --   |t Chapter I. Generalities on projective spaces and Grassmannians --   |t Chapter II. Nevanlinna theory of meromorphic functions --   |t Chapter III. Elementary properties of holomorphic curves --   |t Chapter IV. The two main theorems for holomorphic curves --   |t Chapter V. The defect relations --   |t References --   |t Index of principal definitions 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Analytic functions. 
650 0 |a Functions, Meromorphic. 
650 0 |a Value distribution theory. 
650 7 |a MATHEMATICS / Probability & Statistics / General.  |2 bisacsh 
653 |a Addition. 
653 |a Algebraic curve. 
653 |a Algebraic number. 
653 |a Atlas (topology). 
653 |a Binomial coefficient. 
653 |a Cauchy-Riemann equations. 
653 |a Compact Riemann surface. 
653 |a Compact space. 
653 |a Complex manifold. 
653 |a Complex projective space. 
653 |a Computation. 
653 |a Continuous function (set theory). 
653 |a Covariant derivative. 
653 |a Critical value. 
653 |a Curvature form. 
653 |a Diagram (category theory). 
653 |a Differential form. 
653 |a Differential geometry of surfaces. 
653 |a Differential geometry. 
653 |a Dimension. 
653 |a Divisor. 
653 |a Essential singularity. 
653 |a Euler characteristic. 
653 |a Existential quantification. 
653 |a Fiber bundle. 
653 |a Gaussian curvature. 
653 |a Geodesic curvature. 
653 |a Geometry. 
653 |a Grassmannian. 
653 |a Harmonic function. 
653 |a Hermann Weyl. 
653 |a Hermitian manifold. 
653 |a Holomorphic function. 
653 |a Homology (mathematics). 
653 |a Hyperbolic manifold. 
653 |a Hyperplane. 
653 |a Hypersurface. 
653 |a Improper integral. 
653 |a Intersection number (graph theory). 
653 |a Isometry. 
653 |a Line integral. 
653 |a Manifold. 
653 |a Meromorphic function. 
653 |a Minimal surface. 
653 |a Nevanlinna theory. 
653 |a One-form. 
653 |a Open problem. 
653 |a Open set. 
653 |a Orthogonal complement. 
653 |a Parameter. 
653 |a Picard theorem. 
653 |a Product metric. 
653 |a Q.E.D. 
653 |a Remainder. 
653 |a Riemann sphere. 
653 |a Riemann surface. 
653 |a Smoothness. 
653 |a Special case. 
653 |a Submanifold. 
653 |a Subset. 
653 |a Tangent space. 
653 |a Tangent. 
653 |a Theorem. 
653 |a Three-dimensional space (mathematics). 
653 |a Unit circle. 
653 |a Unit vector. 
653 |a Vector field. 
653 |a Volume element. 
653 |a Volume form. 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691080734 
856 4 0 |u https://doi.org/10.1515/9781400881901 
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