Twisted algebroid curves
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.
KeywordsMaximal Ideal Plane Curve Parametric Representation Algebraic Closure Characteristic Exponent
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