Document Type

Article

Publication Date

2010

Abstract

A complete classification of the individual types of singular points is given for irreducible real sextic curves. This classification is derived by using the computer algebra system Maple. There are 191 types of singular points for real irreducible sextic curves. We clarify that the classification is based on computing just enough of the Puiseux expansion to separate the branches. A significant portion of the proof consists of a sequence of large symbolic computations that can be done nicely using Maple.

Comments

Originally published in Acta Applicandae Mathematicae, Volume 110, Number 2, p. 805-862, DOI: 10.1007/s10440-009-9477-6 (2010)

http://www.springer.com/mathematics/journal/10440

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