Complex Manifolds

ISBN-13: 9783540629955 / Angielski / Miękka / 1997 / 310 str.

S.R. Bell;J.-L. Brylinski;A.T. Huckleberry

Opis

The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme.

Spis treści

Proper Holomorphic Mappings of Complex Spaces by S.R. Bell and R. Narasimhan.- An Overview of Recent Advances in Hodge Theory by J.-L. Brylinski and S. Zucker.- Actions of Groups of Holomorphic Transformations by A.T. Huckleberry.- Stable Bundles, Instantons and C¿-Structures on Algebraic Surfaces by Ch. Okonek and A. Van de Ven.- The Theory of Teichmüller Spaces.- A View Towards Moduli Spaces of Kähler Manifolds by G. Schumacher.

Blurb

The articles in this volume were written to commemorate R. Remmert's 60th birthday in 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of several complex variables, and demonstrate the interplay between complex analysis and many other branches of mathematics. From the reviews of the first printing of this volume, published as Volume 69 of the Encyclopaedia of Mathematical Sciences: "The articles in this volume ... are survey articles facilitating access to interesting aspects of modern complex analysis. ..." (Monatshefte für Mathematik, 1992) "... Like the essays in the earlier volumes of the Encyclopaedia also here the essays are addressed to mathematicians who are not specialists in the specific areas covered. ... This book is dedicated to Reinhold Remmert. It is a beautiful tribute to honour this great man." (Medelingen van het wiskundig genootschap, 1993)