Introduction to Liaison Theory and Deficiency Modules

Abstract

This book carefully examines Liaison Theory and deficiency modules from basic principles, and it describes the role played by deficiency modules in Liaison Theory. It treats Liaison Theory both as a subject in itself, exploring the structure and classification of liaison classes, and as a rich tool, describing a variety of ways in which Liaison has been applied to geometric questions. It assumes only a first course in Algebraic Geometry and Commutative Algebra, so it will be ideal for a graduate student or professional mathematician who wishes to learn the field. On the other hand, it reaches the edge of current research, and as such it will be of interest also to specialists.