Singular points of real sextic curves i

David A. Weinberg, Nicholas J. Willis

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)805-862
Number of pages58
JournalActa Applicandae Mathematicae
Issue number2
StatePublished - May 2010


  • Newton polygon
  • Puiseux expansion
  • Sextic curve
  • Singular point


Dive into the research topics of 'Singular points of real sextic curves i'. Together they form a unique fingerprint.

Cite this