Clifford’s Theorem for real algebraic curves  [ Théorème de Clifford pour les courbes algébriques réelles ]
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.

Reçu le : 2007-06-12
Accepté le : 2008-11-20
DOI : https://doi.org/10.5802/aif.2516
Classification : 14C20,  14H51,  14P25,  14P99
Mots clés: courbes algébriques réelles, diviseurs spéciaux
@article{AIF_2010__60_1_31_0,
     author = {Monnier, Jean-Philippe},
     title = {Clifford's Theorem for real algebraic curves},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {60},
     number = {1},
     year = {2010},
     pages = {31-50},
     doi = {10.5802/aif.2516},
     zbl = {1206.14020},
     mrnumber = {2664309},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_2010__60_1_31_0/}
}
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. https://aif.centre-mersenne.org/item/AIF_2010__60_1_31_0/

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