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

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.

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

Bibliographic databases:

MSC: 14H50
Received: 24.12.2007

Citation: A. B. Korchagin, G. M. Polotovskii, “On positions of a real plane quintic relative to a couple of lines”, Algebra i Analiz, 21:2 (2009), 92–112; St. Petersburg Math. J., 21:2 (2010), 231–244

Citation in format AMSBIB
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\paper On positions of a~real plane quintic relative to a~couple of lines
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\pages 92--112
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\jour St. Petersburg Math. J.
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\pages 231--244
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