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 to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.
@article{urn:eudml:doc:44457, title = {On the geometry of algebraic curves having many real components.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {14}, year = {2001}, pages = {83-92}, zbl = {1001.14021}, mrnumber = {MR1851723}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44457} }
Huisman, J. On the geometry of algebraic curves having many real components.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 83-92. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44457/