Fundamental Groups of Compact Kahler Manifolds

ISBN-13: 9780821804988 / Angielski / Miękka / 1996 / 140 str.

Jaume Amoros; M. Burger

Opis

This text is an exposition of what is known about the fundamental groups of compact Kahler manifolds. This class of groups contains all finite groups and is strictly smaller than the class of all finitely presentable groups. This book collects together results obtained in recent years which aim to characterize those infinite groups which can arise as fundamental groups of compact Kahler manifolds. Most of these results are negative ones, saying which groups do not arise. The methods and techniques used form a mix of topology, differential and algebraic geometry, and complex analysis. The book should be useful to researchers and graduate students interested in any of these areas and could be used as a textbook for an advanced graduate course. One of its features is a large number of concrete examples. The book also contains discussions of some important open questions in the field.