The Resolution of Singular Algebraic Varieties

Resolution of singularities has long been considered a difficult to access area of mathematics.  The more systematic and simpler proofs that have appeared in the last few years in zero characteristic now give us a much better understanding of singularities.  They reveal the aesthetics of both the logical structure of the proof and the various methods used in it.  This volume is intended for readers who are not yet experts but always wondered about the intricacies of resolution.  As such, it provides a gentle and quite comprehensive introduction to this amazing field.  The book may tempt the reader to enter more deeply into a topic where many mysteries — especially the positive characteristic case — wait to be disclosed.

Authors:  Ana Bravo, Steven D. Cutkosky, Santiago Encinas, Anne Frühbis-Krüger, Herwig Hauser, Hiraku Kawanoue, Josef Schicho, Jaap Top, Orlando Villamayor, Takehiko Yasuda

Available at the AMS Bookstore