Classification of algebraic and analytic manifolds : Katata Symposium, proceedings 1982 : [articles based on the 11th international symposium of the Taniguchi Foundation held at Katata, Japan, July 7-13, 1982

The proceedings of the Katata Symposium 1982, reflect the present state of research on classification problems. In addition to papers on the classification theory of algebraic and analytic manifolds, the volume contains papers on algebraic and analytic surfaces, and period mappings. It also contains a chapter listing open problems in the field, indicating the ample time devoted to them during the symposium. Preface. List of Participants. Contents Some remarks on Kahler manifolds wi th c l = 0............................... On the period map of surfaces with K 2 = X = 2................................ Deformations of surfaces containing global spherical shells................... Canonical rings of algebraic varieties.... On primitively symplectic compact Kahler V-manifolds of dimension four............. Asymptotic fibrations of complex varieties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 251 Algebraic surfaces with positive indices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 281 Some remarks on the moduli of K3 surfaces............................... 303 VII O surfaces and a duality of cusp singularities........................ 333 Surjectivity of period map for K3 surfaces............................... 379 Infinitesimal variations of Hodge structure and the generic Torelli problem for projective hyper surfaces ( after Carlson, Donagi, Green, Griffiths, Harris)........................ 399 Configurations of -2 rational curves on hyperplane sections of projective threefolds............. ......... ..... ..... 465 The structure of open algebraic surfaces. II............................... 499 Degenerations of elliptic surfaces and certain non Kahler manifolds.............. Weak positivity and the additivity of the Kodaira dimension, II : The local Tore 11 i map.....................:......... Open Problems. Sponsored By The Taniguchi Foundation ; Kenji Ueno, Editor. Articles Based On The 11th International Symposium Of The Taniguchi Foundation Held At Katata, Japan, July 7-13, 1982. Includes Bibliographies.