Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / ed. by Leon Greenberg.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• MitwirkendeR: Abikoff, William,; Accola, Robert D. M.,; Ahlfors, Lars V.,; Beardon, A. F.,; Bers, Lipman,; Birman, Joan S.,; Chen, Su-shing,; Chu, T.,; Cohn, Harvey,; Earle, Clifford J.,; Ehrenpreis, L.,; Farkas, H. M.,; Farkas, Hershel M.,; Fine, Benjamin,; Gehring, F. W.,; Gilman, Jane,; Greenberg, L.,; Greenberg, Leon,; Harvey, William,; Hejhal, Dennis A.,; Keen, Linda,; Kelly, J. C.,; Kiremidjian, Garo K.,; Lehner, Joseph,; Macbeath, A. M.,; Maclachlan, C.,; Marden, Albert,; Martens, Henrik H.,; Maskit, Bernard,; Metzger, Thomas,; Rauch, Harry E.,; Reich, Edgar,; Rüedy, Reto A.,; Sheingorn, Mark,; Shinnar, Meir,; Strebel, Kurt,; Sturm, Jacob,
• HerausgeberIn: Greenberg, Leon,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1974
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 79
• Physical Description: 1 online resource (452 p.)

Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmüller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.

Table of Contents

Frontmatter -- PREFACE -- CONTENTS -- CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS -- ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES -- SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION -- FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS -- SPACES OF DEGENERATING RIEMANN SURFACES -- MAPPING CLASS GROUPS OF SURFACES: A SURVEY -- A NOTE ON L2 ( Γ G ) -- ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMÜLLER SPACES -- SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS -- ON THE CARATHÉODORY METRIC IN TEICHMÜLLER SPACES -- SOME REFINEMENTS OF THE POINCARÉ PERIOD RELATION -- REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES -- THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD -- QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY -- ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES -- MAXIMAL GROUPS AND SIGNATURES -- COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS -- CHABAUTY SPACES OF DISCRETE GROUPS -- MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS -- COLLARS ON RIEMANN SURFACES -- DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS -- ON THE A (Γ ) ⊂ Bq(Γ ) CONJECTURE FOR INFINITELY GENERATED GROUPS -- THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES -- MODULAR GROUPS AND FIBER SPACES OVER TEICHMÜLLER SPACES -- UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARÉ METRIC -- REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES -- INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS -- POLYNOMIAL APPROXIMATION IN THE BERS SPACES -- SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS -- ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS -- SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES -- ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS -- THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP -- Backmatter