Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79

*Frontmatter, pg. i*PREFACE, pg. v*CONTENTS, pg. vii*CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS, pg. 1*ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES, pg. 13*SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION, pg. 23*FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS, pg. 31*SPACES OF DEGENERATING RIEMANN SURFACES, pg. 43*MAPPING CLASS GROUPS OF SURFACES: A SURVEY, pg. 57*A NOTE ON L2 ( GAMMA / G ), pg. 73*ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMULLER SPACES, pg. 75*SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS, pg. 81*ON THE CARATHEODORY METRIC IN TEICHMULLER SPACES, pg. 99*SOME REFINEMENTS OF THE POINCARE PERIOD RELATION, pg. 105*REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES, pg. 121*THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD, pg. 145*QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY, pg. 171*ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES, pg. 181*MAXIMAL GROUPS AND SIGNATURES, pg. 207*COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS, pg. 227*CHABAUTY SPACES OF DISCRETE GROUPS, pg. 239*MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS, pg. 247*COLLARS ON RIEMANN SURFACES, pg. 263*DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS, pg. 269*ON THE A (GAMMA ) Bq(GAMMA ) CONJECTURE FOR INFINITELY GENERATED GROUPS, pg. 283*THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES, pg. 289*MODULAR GROUPS AND FIBER SPACES OVER TEICHMULLER SPACES, pg. 297*UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARE METRIC, pg. 315*REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES, pg. 341*INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS, pg. 349*POLYNOMIAL APPROXIMATION IN THE BERS SPACES, pg. 369*SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS, pg. 379*ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS, pg. 391*SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES, pg. 409*ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS, pg. 419*THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP, pg. 439*Backmatter, pg. 445