no. 1
Clifford’s Theorem for real algebraic curves
[Théorème de Clifford pour les courbes algébriques réelles]
Monnier, Jean-Philippe1
1 Université d’Angers Département de Mathématiques 2, boulevard Lavoisier 49045 Angers Cedex 01 (France)
Annales de l'Institut Fourier, Tome 60 (2010) no. 1, pp. 31-50.

On démontre, pour les courbes projectives lisses réelles, une version analogue de l’inégalité de Clifford connue pour les courbes complexes. On étudie aussi très précisément les cas où cette inégalité devient une égalité.

We establish, for smooth projective real curves, an analogue of the classical Clifford inequality known for complex curves. We also study the cases when equality holds.

DOI : 10.5802/aif.2516
Classification : 14C20, 14H51, 14P25, 14P99
Keywords: Real algebraic curves, special divisors
Mot clés : courbes algébriques réelles, diviseurs spéciaux
Monnier, Jean-Philippe 1

1 Université d’Angers Département de Mathématiques 2, boulevard Lavoisier 49045 Angers Cedex 01 (France) 
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Monnier, Jean-Philippe. Clifford’s Theorem for real algebraic curves. Annales de l'Institut Fourier, Tome 60 (2010) no. 1, pp. 31-50. doi : 10.5802/aif.2516. http://www.numdam.org/articles/10.5802/aif.2516/

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