A. Jacquemard et Ma. Teixeira, REVERSIBLE NORMAL FORMS OF DEGENERATE CUSPS FOR PLANAR DIFFEOMORPHISMS, Bulletin des sciences mathematiques, 122(6), 1998, pp. 409-425
In this paper we deal with normal forms of germs at the origin of reve
rsible planar diffeomorphisms whose linear part is unipotent with posi
tive eigenvalues. The computing of these normal forms involves effecti
ve algebraic geometry algorithms. We also study generic k-parameters d
eformations (1 less than or equal to k less than or equal to 6). (C) E
lsevier, Paris.