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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
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] Michael Artin, Some numerical criteria for contractability of curves on algebraic surfaces, 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. (3) 6 (1956), 597–609. MR 0087202 (19,319b)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0848867-X
PII: S 0002-9939(1986)0848867-X
Article copyright: © Copyright 1986 American Mathematical Society