Details:
Title  Equisingular calculations for plane curve singularities  Author(s)  Antonio Campillo, GertMartin Greuel, Christoph Lossen  Type  Article in Journal  Abstract  We present an algorithm which, given a deformation with section of a reduced plane curve singularity, computes equations for the equisingularity stratum (that is, the μ constant stratum in characteristic 0) in the parameter space of the deformation. The algorithm works for any, not necessarily reduced, parameter space and for algebroid curve singularities C defined over an algebraically closed field of characteristic 0 (or of characteristic p > ord ( C ) ). It provides at the same time an algorithm for computing the equisingularity ideal of J. Wahl. The algorithms have been implemented in the computer algebra system Singular. We show them at work by considering two nontrivial examples. As the article is also meant for nonspecialists in singularity theory, we include a short survey on new methods and results about equisingularity in characteristic 0.  Keywords  Equisingular deformation, Plane curve singularities, Milnor number, Hamburger–Noether expansion, Deformation of parametrization  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717106000666 
Language  English  Journal  Journal of Symbolic Computation  Volume  42  Number  1–2  Pages  89  114  Year  2007  Note  Effective Methods in Algebraic Geometry (MEGA 2005)  Edition  0  Translation 
No  Refereed 
No 
