Newton polyhedra of discriminants: a computation

  1. Evelia García Barroso 1
  2. Bernard Teissier
  1. 1 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

Libro:
Singularities and computer algebra

Editorial: Cambridge University press

ISBN: 978-0-521-68309-8

Año de publicación: 2006

Volumen: 324

Páginas: 185-210

Tipo: Capítulo de Libro

GOOGLE SCHOLAR

Resumen

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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