%0 Book Section
%T On sextic curves with big Milnor number.
publisher Birkhäuser Basel
%D 2002
%U 978-3-0348-9461-6
%@ https://hdl.handle.net/20.500.14352/60756
%X In this work we present an exhaustive description, up to projective isomorphism, of all irreducible sextic curves in ℙ2 having a singular point of type , A n ,n⩾15  n ≥ 15, only rational singularities and global Milnor number at least 18. Moreover, we develop a method for an explicit construction of sextic curves with at least eight — possibly infinitely near — double points. This method allows us to express such sextic curves in terms of arrangements of curves with lower degrees and it provides a geometric picture of possible deformations. Because of the large number of cases, we have chosen to carry out only a few to give some insights into the general situation.
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