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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

On arrangements of plane real quintics with respect to a pair of lines


Authors: A. B. Korchagin and G. M. Polotovskiĭ
Translated by: A. B. Korchagin
Original publication: Algebra i Analiz, tom 21 (2009), nomer 2.
Journal: St. Petersburg Math. J. 21 (2010), 231-244
MSC (2000): Primary 14H50
DOI: https://doi.org/10.1090/S1061-0022-10-01092-7
Published electronically: January 21, 2010
MathSciNet review: 2549453
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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.


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Additional Information

A. B. Korchagin
Affiliation: Lobachevsky University, 23 Gagarin Ave., Nizhny Novgorod 603950, Russia
Email: korchagin@rf.unn.ru

G. M. Polotovskiĭ
Affiliation: Lobachevsky University, 23 Gagarin Ave., Nizhny Novgorod 603950, Russia
Email: polot@uic.nnov.ru

DOI: https://doi.org/10.1090/S1061-0022-10-01092-7
Keywords: Plane real algebraic curve, splitting algebraic curve, topological classification
Received by editor(s): December 24, 2007
Published electronically: January 21, 2010
Article copyright: © Copyright 2010 American Mathematical Society