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, Volume 68, Issue 1, pp 327–335 | Cite as

Generators for the derivation modules and the relation ideals of certain curves

  • Dilip P. Patil
  • Balwant Singh
Article
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Revised:

Abstract

LetO be a curve in the affine algebroide-space over a fieldK of characteristic zero. LetD be the module ofK-derivations andP the relation ideal ofO. Generators forD andP are computed in several cases. It is shown in particular that in the case of a monomial curve defined by a sequence ofe positive integers somee−1 of which form an arithmetic sequence, μO ≤ 2e - 3 and μ(P)≤e(e−1)/2.

Keywords

Prime Ideal Characteristic Zero Relation Ideal Quotient Ring Irreducible Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Dilip P. Patil
    • 1
  • Balwant Singh
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchBombayIndia

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