Bulletin of the American Mathematical Society

MathSciNet review: 1567804
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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E. C. Dade, Multiplicity and monoidal transformations, Thesis, Princeton Univ., 1960, unpublished.

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

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, DOI 10.2307/1970547

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

Mark Spivakovsky, A counterexample to the theorem of Beppo Levi in three dimensions, Invent. Math. 96 (1989), no. 1, 181–183. MR 981741, DOI 10.1007/BF01393974

Jürgen Stückrad and Wolfgang Vogel, Buchsbaum rings and applications, Springer-Verlag, Berlin, 1986. An interaction between algebra, geometry and topology. MR 881220, DOI 10.1007/978-3-662-02500-0

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E. C. Dade, Multiplicity and monoidal transformations, Thesis, Princeton Univ., 1960, unpublished.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 0568896

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