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Journal of the London Mathematical Society Advance Access originally published online on December 13, 2007
Journal of the London Mathematical Society 2008 77(1):149-164; doi:10.1112/jlms/jdm092
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© 2007 London Mathematical Society

Plane curves with three or four total inflection points

Filip Cools and Marc Coppens

Department of Mathematics
K.U. Leuven
Celestijnenlaan 200B
B-3001 Leuven
Belgium
Departement Industrieel Ingenieur en Biotechniek
Katholieke Hogeschool Kempen
Kleinhoefstraat 4
B-2440 Geel
Belgium
Marc.Coppens{at}khk.be

In this article, we will study plane curves of a certain degree d with three or four total inflection points. In particular, we will study their image in the moduli spaces. Also a result on curves with five total inflection points is included.

Both authors are partially supported by the Fund of Scientific Research, Flanders (G.0318.06).

2000 Mathematics Subject Classification 14H10, 14H50, 14N20.

Received January 15, 2007; published online December 13, 2007.


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