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Proceedings of the American Mathematical Society

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A result on the set-theoretic complete intersection problem


Author: T. T. Moh
Journal: Proc. Amer. Math. Soc. 86 (1982), 19-20
MSC: Primary 14M10; Secondary 13F25, 14H45
MathSciNet review: 663857
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Abstract: This article establishes a certain arithmetical criterion for set-theoretic complete intersection for irreducible analytic space curves.


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

  • [1] R. C. Cowsik and M. V. Nori, Affine curves in characteristic 𝑝 are set theoretic complete intersections, Invent. Math. 45 (1978), no. 2, 111–114. MR 0472835
  • [2] D. Ferrand, Les modules projectifs de type fini, Sém. N. Bourbaki, no. 484 (1976).
  • [3] Jürgen Herzog, Generators and relations of abelian semigroups and semigroup rings., Manuscripta Math. 3 (1970), 175–193. MR 0269762
  • [4] T. T. Moh, On the unboundedness of generators of prime ideals in power series rings of three variables, J. Math. Soc. Japan 26 (1974), 722–734. MR 0354680

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0663857-4
Keywords: Set-theoretic complete intersection, analytic curves, semigroups
Article copyright: © Copyright 1982 American Mathematical Society