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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

Arrangements of an $ M$-quintic with respect to a conic that maximally intersects its odd branch


Author: S. Yu. Orevkov
Translated by: the author
Original publication: Algebra i Analiz, tom 19 (2007), nomer 4.
Journal: St. Petersburg Math. J. 19 (2008), 625-674
MSC (2000): Primary 57R52, 57R19
Published electronically: May 14, 2008
MathSciNet review: 2381938
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Abstract: Under certain assumptions, the arrangements mentioned in the title are classified up to isotopy. Their algebraic realizability is discussed.


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Additional Information

S. Yu. Orevkov
Affiliation: Steklov Mathematical Institute, Gubkina 8, Moscow, Russia, and Laboratoire Émile Picard, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 9, France
Email: orevkov@math.ups-tlse.fr

DOI: http://dx.doi.org/10.1090/S1061-0022-08-01014-5
PII: S 1061-0022(08)01014-5
Keywords: Plane projective real curve, almost complex structure, isotopy, algebraic (un)realizability
Received by editor(s): August 31, 2006
Published electronically: May 14, 2008
Article copyright: © Copyright 2008 American Mathematical Society