RT Book, Section T1 On sextic curves with big Milnor number. A1 Artal Bartolo, Enrique A1 Carmona Ruber, Jorge A1 Cogolludo Agustín, José Ignacio A2 Libgober, Amatoly A2 Tibăr, Mihai AB 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. PB Birkhäuser Basel SN 978-3-0348-9461-6 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/60756 UL https://hdl.handle.net/20.500.14352/60756 LA eng NO DGES NO DGES DS Docta Complutense RD 3 abr 2025