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Book Review

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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?)

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  • 3. Charles Delorme, Sur la dimension d’un espace de singularités, C. R. Acad. Sci. Paris Sér. A-B 280 (1975), Aii, A1287–A1289. MR 0437544
  • 4. 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.
  • 6. 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).
  • 8. 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).
  • 10. J. G. Semple and G. T. Kneebone, Algebraic curves, Oxford University Press, London-New York, 1959. MR 0124801
  • 11. Sherwood Washburn, Analytically trivial families of local rings, J. Algebra 35 (1975), 528–533. MR 0371890, https://doi.org/10.1016/0021-8693(75)90064-2
  • 12. Oscar Zariski, On the Topology of Algebroid Singularities, Amer. J. Math. 54 (1932), no. 3, 453–465. MR 1507926, https://doi.org/10.2307/2370887
  • 13. Oscar Zariski, Studies in equisingularity. I. Equivalent singularities of plane algebroid curves, Amer. J. Math. 87 (1965), 507–536. MR 0177985, https://doi.org/10.2307/2373019
  • 14. Oscar Zariski, Studies in equisingularity. II. Equisingularity in codimension 1 (and characteristic zero), Amer. J. Math. 87 (1965), 972–1006. MR 0191898, https://doi.org/10.2307/2373257
  • 15. Oscar Zariski, Studies in equisingularity. III. Saturation of local rings and equisingularity, Amer. J. Math. 90 (1968), 961–1023. MR 0237493, https://doi.org/10.2307/2373492
  • 16. 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 0202716

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