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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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The Newton fan associated with an ideal
by
Abdallah Assi
Angers University, 2 Bd Lavoisier, 49045 Angers cedex 01

Let I be an ideal of the ring of formal power series K[[x1, ..., xn]], K is a field. If n=2 and I=(f) is a principal ideal, then we can associate with f its Newton polygon. This notion is very useful in the study of the singularity of f. In this talk, we shall show how to generalise this notion to an arbitrary ideal. We shall also give some applications.

Date received: March 30, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqm-80.