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On nearly absolutely isolated hypersurface singularities of dimension $ 2$


Author: Jin Gen Yang
Journal: Proc. Amer. Math. Soc. 98 (1986), 23-28
MSC: Primary 14J17
DOI: https://doi.org/10.1090/S0002-9939-1986-0848867-X
MathSciNet review: 848867
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Abstract: A formula for the geometric genus of a nearly absolutely isolated hypersurface singularity of dimension 2 is found by using the canonical resolution. An upper bound for the fundamental cycle of such singularity is also given.


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

  • [1] M. Artin, Some numerical criteria for contractibility of curves on an algebraic surface, Amer. J. Math. 84 (1962), 485-496. MR 0146182 (26:3704)
  • [2] E. Horikawa, On deformations of quintic surfaces, Invent. Math. 31 (1975), 43-85.
  • [3] D. Kirby, The structure of an isolated multiple point of a surface. I, Proc. London Math. Soc. 6 (1956), 597-609; II, 7 (1957), 1-28. MR 0087202 (19:319b)

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DOI: https://doi.org/10.1090/S0002-9939-1986-0848867-X
Article copyright: © Copyright 1986 American Mathematical Society

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