Book Review

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Book Information:

Authors: M. Herrmann, S. Ikeda and U. Orbanz

Title: Equimultiplicity and blowing up

Additional book information: with an appendix by B. Moonen. Springer-Verlag, Berlin, Heidelberg, New York, 1988, xvii + 629 pp., $99.50. ISBN 3-540-15289-x.

**1.**E. C. Dade,*Multiplicity and monoidal transformations*, Thesis, Princeton Univ., 1960, unpublished.**2.**M. Herrmann, R. Schmidt, and W. Vogel,*Theory of normal flatness*, B. G. Teubner, Leipzig, 1977, (in German). MR**568896****3.**H. Hironaka,*Resolution of singularities of an algebraic variety over a field of characteristic zero*, Ann. of Math. (2) 79 (1964), 109-326. MR**199184****4.**J. Lipman,*Equimultiplicity, reduction, and blowing up*, Commutative Algebra, Lecture Notes Pure Appl. Math. no. 68, Marcel Dekker, New York, 1982, pp. 111-147. MR**655801****5.**M. Spivakovsky,*A counterexample to the theorem of Beppo Levi in three dimensions*, Invent. Math. (to appear). MR**981741****6.**J. Stückrad and W. Vogel.*Buchsbaum rings and applications*, Springer-Verlag, Berlin, Heidelberg, New York, 1986. MR**881220**

Review Information:

Reviewer: Wolfgang Vogel

Journal: Bull. Amer. Math. Soc.

**21**(1989), 300-303

DOI: https://doi.org/10.1090/S0273-0979-1989-15835-7