Introduction to liaison theory and deficiency modules

by Juan C. Migliore

"This book carefully examines liaison theory and deficiency modules from basic principles, taking a geometric approach to the subject. The focus is on the role of deficiency modules in algebraic geometry, particularly with respect to liaison theory, which is treated here both as a subject in itself and as a rich tool. The structure and classification of liaison classes are explored, and a variety of ways are described in which liaison has been applied to geometric questions. The classical study of liaison via complete intersections is compared and contrasted with the relatively new study of the subject via arithmetically Gorenstein ideals." "It will be ideal for a graduate student or professional mathematician who wishes to learn about these topics. On the other hand, it reaches the edge of current research, and as such it will be of interest to specialists as well."--BOOK JACKET.