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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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The algebraic fundamental group of real algebraic curves
by
Johan Huisman
University of Rennes

The algebraic fundamental group \pi1(X) of a connected complete nonsingular real algebraic curve X is determined as the profinite completion of the fundamental group of the Z/2 Z-orbifold Xorb associated to X. Let X and X' be connected complete nonsingular real algebraic curves of positive genus. It is shown that X and X' are of the same topological type if and only if \pi1(X) and \pi1(X') are isomorphic. The idea is to consider the connected components of the set of real pointsX( R) of X as primes at infinity.

Date received: February 11, 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-10.