Ebook: Classification of Algebraic and Analytic Manifolds: Katata Symposium Proceedings 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.