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$%J. Huisman, On the geometry of algebraic curves having many real components, Rev. Mat. Complut. 14 (2001), no. 1, 8392.%$

On the Geometry of Algebraic Curves Having Many Real Components
Johannes HUISMAN
Institut Mathématique de Rennes
Université de Rennes 1
Campus de Beaulieu
35042 Rennes Cedex — France

Received: May 22, 2000
Revised: September 4, 2000


We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components, i.e., on M-curves. We apply this to

  1. complete linear systems on M-curves containing divisors with entirely real support, and

  2. morphisms of M-curves into P1.

2000 Mathematics Subject Classification: 14P99, 14H45, 14C20.