[Théorème de Clifford pour les courbes algébriques réelles]
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.
Keywords: Real algebraic curves, special divisors
Mot clés : courbes algébriques réelles, diviseurs spéciaux
@article{AIF_2010__60_1_31_0,
author = {Monnier, Jean-Philippe},
title = {Clifford{\textquoteright}s {Theorem} for real algebraic curves},
journal = {Annales de l'Institut Fourier},
pages = {31--50},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {60},
number = {1},
year = {2010},
doi = {10.5802/aif.2516},
zbl = {1206.14020},
mrnumber = {2664309},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.2516/}
}
TY - JOUR AU - Monnier, Jean-Philippe TI - Clifford’s Theorem for real algebraic curves JO - Annales de l'Institut Fourier PY - 2010 SP - 31 EP - 50 VL - 60 IS - 1 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2516/ DO - 10.5802/aif.2516 LA - en ID - AIF_2010__60_1_31_0 ER -
%0 Journal Article %A Monnier, Jean-Philippe %T Clifford’s Theorem for real algebraic curves %J Annales de l'Institut Fourier %D 2010 %P 31-50 %V 60 %N 1 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2516/ %R 10.5802/aif.2516 %G en %F 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. http://www.numdam.org/articles/10.5802/aif.2516/
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