Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

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MathSciNet review: 1567680
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Oscar Zariski
Title: Le problème des modules pour les branches planes
Additional book information: with an appendix by Bernard Teissier. Hermann, Paris, 1986, 209 pp., $28.00. ISBN 2-7065-6036-4.

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

1.
K. Brauner, Zur Geometrie der Funktionen zweier complexen Veränderlichen, III, IV, Abh. Math. Sem. Hamburg 6 (1928), 8-54.
  • Werner Burau, Wilhelm Blaschkes Leben und Werk, Mitt. Math. Ges. Hamburg 9 (1963), no. 2, 24–40 (1963) (German). MR 0166066
  • Charles Delorme, Sur la dimension d’un espace de singularités, C. R. Acad. Sci. Paris Sér. A-B 280 (1975), Aii, A1287–A1289. MR 437544
  • David Eisenbud and Walter Neumann, Three-dimensional link theory and invariants of plane curve singularities, Annals of Mathematics Studies, vol. 110, Princeton University Press, Princeton, NJ, 1985. MR 817982
  • 5.
    F. Enriques and O. Chisini, Lezioni sulla theorie geometrica delle equazioni e delle funzioni algebriche, 3 vols., Bologna, 1915, 1918, and 1925.
  • Erich Hecke, Lectures on the theory of algebraic numbers, Graduate Texts in Mathematics, vol. 77, Springer-Verlag, New York-Berlin, 1981. Translated from the German by George U. Brauer, Jay R. Goldman and R. Kotzen. MR 638719
  • 7.
    M. Lejeune and B. Teissier, Clôture integrale des ideaux et équisingularité, Sém. École Polytechnique, (1973-1974).
  • John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. MR 0239612
  • 9.
    H. C. Pinkham, Deformations of algebraic varieties with G, Astérisque 20 (1974).
  • J. G. Semple and G. T. Kneebone, Algebraic curves, Oxford University Press, London-New York, 1959. MR 0124801
  • Sherwood Washburn, Analytically trivial families of local rings, J. Algebra 35 (1975), 528–533. MR 371890, DOI 10.1016/0021-8693(75)90064-2
  • Oscar Zariski, On the Topology of Algebroid Singularities, Amer. J. Math. 54 (1932), no. 3, 453–465. MR 1507926, DOI 10.2307/2370887
  • Oscar Zariski, Studies in equisingularity. I. Equivalent singularities of plane algebroid curves, Amer. J. Math. 87 (1965), 507–536. MR 177985, DOI 10.2307/2373019
  • Oscar Zariski, Studies in equisingularity. II. Equisingularity in codimension $1$ (and characteristic zero), Amer. J. Math. 87 (1965), 972–1006. MR 191898, DOI 10.2307/2373257
  • Oscar Zariski, Studies in equisingularity. III. Saturation of local rings and equisingularity, Amer. J. Math. 90 (1968), 961–1023. MR 237493, DOI 10.2307/2373492
  • Oscar Zariski, Characterization of plane algebroid curves whose module of differentials has maximum torsion, Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 781–786. MR 202716, DOI 10.1073/pnas.56.3.781

  • Review Information:

    Reviewer: Sherwood Washburn
    Journal: Bull. Amer. Math. Soc. 18 (1988), 209-214
    DOI: https://doi.org/10.1090/S0273-0979-1988-15651-0