Complex Algebraic Threefolds

‘This book is an excellent introduction to the classification of complex algebraic threefolds. It includes a thorough modern treatment and a glimpse into many of the recent higher dimensional breakthroughs.’ Christopher Hacon, University of Utah‘A distinctive feature and a great strength of the book is the wealth of simple yet enlightening examples that illustrate even the most exotic aspects of the theory. They are a most valuable resource for testing questions and conjectures. I strongly recommend the book to anyone who wants to delve deeper into the study of 3-folds. The papers describing the steps of Mori’s program are long and difficult… the author has chosen basic results and special cases that can be explained in a chapter, yet give a true introduction to the main difficulties of the general theory. For the steps of Mori’s program and the plurigenera, Kawakita gives the first textbook treatments that go beyond the elementary results. Anyone wanting to read the full proofs should start with this book and ponder the many examples presented here.’ Janos Kollar, Bulletin of the American Mathematical Society

Masayuki Kawakita is Associate Professor at the Research Institute for Mathematical Sciences, Kyoto University. He has established a classification of threefold divisorial contractions and is a leading expert in algebraic threefolds.