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International Conference and Workshop on Valuation Theory
July 26 - August 11, 1999
University of Saskatchewan
Saskatoon, SK, Canada

Organizers
Franz-Viktor Kuhlmann, Salma Kuhlmann, Murray Marshall, Deirdre Haskell, Hans Schoutens

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Abhyankar's irreducibility criterion: a geometric point of view
by
Vincent Cossart
University of Versailles (France)

From the results of M. SPIVAKOVSKY about valuations of function fields in dimension 2, we deduce a Criterion of analytic irreducibility of plane curves valid in every characteristic and a new proof of ABHYANKAR's Criterion. The notion of graduate rings associated to divisorial valuations gives ``geometric'' interpretations of ABHYANKAR's computations.

Date received: May 4, 1999

Copyright © 1999 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 # cacv-50.