Divisors on real curves.
Monnier, Jean-Philippe (2003)
Advances in Geometry
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Monnier, Jean-Philippe (2003)
Advances in Geometry
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David Eisenbud, Joe Harris (1989)
Annales scientifiques de l'École Normale Supérieure
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Dan Abramovich, Joe Harris (1991)
Compositio Mathematica
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J. Huisman (2001)
Revista Matemática Complutense
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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.
Gerald E. Welters (1985)
Annales scientifiques de l'École Normale Supérieure
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Edoardo Ballico (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Johannes Huisman (2002)
Revista Matemática Complutense
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Let C ⊆ P be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd.