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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1982 Volume 122, Pages 146–161 (Mi znsl4094)

This article is cited in 2 papers

$M$-curves of degree $10$

Yu. S. Chislenko


Abstract: 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.

UDC: 514.144.25



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