A textbook for part of a one-year introductory sequence in algebraic geometry for students who have some familiarity with algebraic geometry and commutative algebra at the level of introductory courses in them. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
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This book, based on the author's lectures at the University of Missouri and the Chennai Mathematics Institute, presents a purely algebraic approach to the resolution of singularities...requires the level of knowledge of algebraic geometry and commutative algebra usually covered in an introductory graduate-level course. ... It is suitable for anyone who wants to learn about the algebraic theory of resolution of singularities and read a reasonably short proof of the existence of resolutions in characteristic zero. --Bulletin of the London Mathematical Society
It has been a pleasure for the reviewer to read this beautiful book, which is a must for graduate students interested in the subject. It fills a gap in graduate texts, covering the most important results in resolution of singularities in an elegant and didactic style. --Mathematical Reviews
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