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Record Nr. |
UNINA9910154750103321 |
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Autore |
Wu Hung-his |
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Titolo |
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©1970 |
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ISBN |
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Descrizione fisica |
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1 online resource (252 pages) : illustrations |
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Collana |
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Annals of Mathematics Studies ; ; 254 |
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Disciplina |
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Soggetti |
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Value distribution theory |
Analytic functions |
Functions, Meromorphic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions |
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Sommario/riassunto |
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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. |
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