Twisted algebroid curves

  • Antonio Campillo
Part of the Lecture Notes in Mathematics book series (LNM, volume 813)


This chapter treats, essentially, the problem of classifying singularities of irreducible twisted algebroid curves over an algebraically closed field. Three definitions of equisingularity, which coincide for plane curves with the (a)-equisingularity, are given.

The first one classifies singularities by means of equiresolution of the generic plane projections, the second one by equiresolution using space quadratic transformations, and the third one by the semigroup of values. However, we shall prove that in general they are different. On the other hand, none of them may be considered as a better definition than the other ones.


Maximal Ideal Plane Curve Parametric Representation Algebraic Closure Characteristic Exponent 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Antonio Campillo

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