Singular points of real quartic curves via computer algebra

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dc.creatorWeinberg, David A.
dc.creatorWillis, Nicholas J.
dc.date2007-07-02
dc.date.accessioned2026-07-07T08:13:33Z
dc.date.available2026-07-07T08:13:33Z
dc.descriptionThere are thirteen types of singular points for irreducible real quartic curves and seventeen types of singular points for reducible real quartic curves. This classification is originally due to D.A. Gudkov. There are nine types of singular points for irreducible complex quartic curves and ten types of singular points for reducible complex quartic curves. We derive the complete classification with proof by using the computer algebra system Maple. We clarify that the classification is based on computing just enough of the Puiseux expansion to separate the branches. Thus, the proof consists of a sequence of large symbolic computations that can be done nicely using Maple.
dc.description24 pages, http://www.math.ttu.edu/~weinberg/
dc.identifierhttps://arxiv.org/abs/0707.0241
dc.identifierhttp://arxiv.org/abs/0707.0241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132807
dc.subjectAlgebraic Geometry
dc.subject14Bxx, 14B05, 14Hxx, 14H20, 32Sxx, 58Kxx
dc.titleSingular points of real quartic curves via computer algebra
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