Geodesic
$M$-curves of degree $10$
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part IV, Tome 122 (1982), pp. 146-161
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The known restrictions on mutual position of ovals of nonsingular algebraic curve in the real projective plane in the case of curves of degree $10$ with maximal number of components are satisfied by about $70000$ schemes of position. The set of the schemes is naturally subdivided into $18$ families. The main result of the paper is the following: in each family there exist representatives which are realized by curves. 
@article{ZNSL_1982_122_a14,
     author = {Yu. S. Chislenko},
     title = {$M$-curves of degree~$10$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {146--161},
     year = {1982},
     volume = {122},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a14/}
}
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Yu. S. Chislenko. $M$-curves of degree $10$. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part IV, Tome 122 (1982), pp. 146-161. http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a14/