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XI Brazilian Meeting of Topology
August 3-7, 1998
IGCE - Universidade Estadual Paulista - UNESP
Rio Claro, S.P., Brazil

Organizers
Joao Peres Vieira, Marcelo Jose Saia, Oziride Manzoli Neto, Suely Druck, Alice Kimie Miwa Libardi, Izabel Cristina Rossini

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Newton polygins and topology of real loci of real polinomials
by
Toshizumi Fukui
Department of Mathematics, Faculty of Science, Saitama University, Urawa, Japan.

Abstract: Let f(x, y) = \sumai, jxiyj be a real polinomial and \Delta(f) its Newton polygon. We show the relation between the topology of the real zero locus of f and \Delta(f). When f is non-degenerate we show the relation between the Euler characteristic of the toric surface P\Delta associated to \Delta(f) and the volume of the polygon IR2+ - \Delta(f).

Date received: May 26, 1998

Copyright © 1998 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 # cabo-11.