Newton polyhedra of discriminants: a computation
- Evelia García Barroso 1
- Bernard Teissier
-
1
Universidad de La Laguna
info
Editorial: Cambridge University press
ISBN: 978-0-521-68309-8
Ano de publicación: 2006
Volume: 324
Páxinas: 185-210
Tipo: Capítulo de libro
Resumo
We compute the Newton polyhedron in the natural coordinates of thediscriminant of a germ of complex analytic mapping (C3 ×C,0) →(C3 ×C,0) associated by the polar hypersurface construction to thedegeneration of a plane analytic branch with two characteristic pairsto the monomial curve with the same semigroup. The result showsthat the jacobian Newton polyhedron is not in general constant inan equisingular family of complete intersection branches (whereas itis constant in an equisingular family of plane branches). However, inthis case the information that it contains, namely the semigroup, isconstant and only the encoding changes.
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