Mixed Hodge Structures and Singularities

This book is both an introduction to, and a survey of, some topics of singularity theory, in which the author uses the language of algebraic geometry to strike a balance between the traditional approach to the subject and the more abstract homological approach.

'Without any doubt, the author has covered a wealth of material on a highly advanced topic in complex geometry, and in this regard he has provided a great service to the mathematical community … he has succeeded in providing a brilliant introduction to, and a comprehensive overview of, this contemporary central subject of complex geometry … the entire text represents an irresistible invitation to the subject, and may be seen as a dependable pathfinder with regard to the vast existing original literature in the field.' W. Kleinert, Zentralblatt für Mathematik und ihre Grenzgebiete