Geodesic
On theta characteristics of real algebraic curves
Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 403-406 
V. A. Krasnov. On theta characteristics of real algebraic curves. Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 403-406. http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a7/
@article{MZM_1998_64_3_a7,
     author = {V. A. Krasnov},
     title = {On theta characteristics of real algebraic curves},
     journal = {Matemati\v{c}eskie zametki},
     pages = {403--406},
     year = {1998},
     volume = {64},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a7/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Real theta characteristics of a real algebraic curve are studied. The numbers of even and odd real theta characteristics are calculated. These numbers depend on the topological characteristics of the curve only.

[1] Klemens G., Mozaika teorii kompleksnykh krivykh, Mir, M., 1984

[2] Mamford D., Lektsii o teta-funktsiyakh, Mir, M., 1988