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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
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.

References [Enhancements On Off] (What's this?)

  • 1. E. C. Dade, Multiplicity and monoidal transformations, Thesis, Princeton Univ., 1960, unpublished.
  • 2. Manfred Herrmann, Rolf Schmidt, and Wolfgang Vogel, Theorie der normalen Flachheit, BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1977 (German). Mit englischer und russischer Zusammenfassung; Mit einem Geleitwort von Wolfgang Gröbner; Teubner-Texte zur Mathematik. MR 0568896
  • 3. Heisuke Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. (2) 79 (1964), 109–203; ibid. (2) 79 (1964), 205–326. MR 0199184
  • 4. Joseph Lipman, Equimultiplicity, reduction, and blowing up, Commutative algebra (Fairfax, Va., 1979) Lecture Notes in Pure and Appl. Math., vol. 68, Dekker, New York, 1982, pp. 111–147. MR 655801
  • 5. Mark Spivakovsky, A counterexample to the theorem of Beppo Levi in three dimensions, Invent. Math. 96 (1989), no. 1, 181–183. MR 981741, 10.1007/BF01393974
  • 6. Jürgen Stückrad and Wolfgang Vogel, Buchsbaum rings and applications, Springer-Verlag, Berlin, 1986. An interaction between algebra, geometry and topology. MR 881220

Review Information:

Reviewer: Wolfgang Vogel
Journal: Bull. Amer. Math. Soc. 21 (1989), 300-303