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JOURNALS // Algebra i Analiz // Archive

Algebra i Analiz, 2009 Volume 21, Issue 2, Pages 92–112 (Mi aa1006)

This article is cited in 4 papers

On positions of a real plane quintic relative to a couple of lines

A. B. Korchagin, G. M. Polotovskii

N. I. Lobachevskii State University of Nizhnii Novgorod, Nizhnii Novgorod, Russia

Abstract: The arrangements of an $M$-curve of degree 5 with respect to a pair of lines in the projective plane are studied under the natural conditions of general position and maximality.

Keywords: plane real algebraic curve, splitting algebraic curve, topological classification.

MSC: 14H50

Received: 24.12.2007


 English version:
St. Petersburg Mathematical Journal, 2010, 21:2, 231–244

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© Steklov Math. Inst. of RAS, 2024