By Kenji Matsuki

From the reviews:

"This textual content of approximately 500 pages represents the writer changing into e-book shape the gathering of private notes he made while figuring out a few of the facets of what he refers to because the Mori application. … This ebook … is self-contained … . The publication is written in a truly didactic kind … . The e-book starts off and finishes with cogent illustrations of the idea … ." (W. Pelham, Nieuw Archief voor Wiskunde, Vol. four (3), 2003)

"The booklet lower than evaluate is an enthusiastic creation to the minimum version application, or Mori software. … this paintings is the 1st try to provide a predigested creation to this gorgeous realm of arithmetic. The booklet has the infrequent caliber of introducing in an easy and stimulating approach a tricky and intensely usually technical subject." (Massimiliano Mella, Mathematical studies, 2002 m)

"Mori thought has been probably the most lively components of algebraic geometry long ago 20 years. … This e-book grew out of author’s own notes. one in every of its maximum strengths is that it's most likely the easiest-to-read ebook at the topic. it really is written in a transparent, understandable kind, and the author’s love of the topic continually shines via. ... The publication is geared toward graduate scholars … yet a person desirous to find out about the Mori’s software will locate it useful." (Gabor Megyesi, Bulletin of the London Mathematical Society, factor 35, 2003)

"This textbook is a hugely welcome novelty within the literature on algebraic geometry. Written in a truly lucid, rigorous and finished kind, this e-book is helping to make the complex subject of Mori idea much more appealing and obtainable … . The e-book within reason self-contained … . The consumer friendliness of ok. Matsuki’s textbook … is strengthened up via particular references to the literature for every unmarried bankruptcy, an entire record of notations utilized in the process the textual content, and an intensive bibliography." (Werner Kleinert, Zentralblatt MATH, Vol. 988 (13), 2002)

"The function of this publication is to provide a understandable account of what's referred to as the Mori software … . the writer provides this concept in a simple and comprehensible method with plenty of history motivation … . it's the first ‘friendly’ e-book during this very important and energetic region of analysis and may turn into a key source for graduate scholars desirous to input this area." (L'Enseignement Mathematique, Vol. forty eight (1-2), 2002)