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Algebra i Analiz, 2007 Volume 19, Issue 4, Pages 174–242 (Mi aa133)

This article is cited in 12 papers

Research Papers

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

S. Yu. Orevkovab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Laboratoire des Mathématiques Emile Picard, UFR MIG, Université Paul Sabatier, Toulouse, France

Abstract: Under certain assumptions, the arrangements mentioned in the title are classified up to isotopy. Their algebraic realizability is discussed.

Keywords: Plane projective real curve, almost complex structure, isotopy, algebraic (un)realizability.

MSC: 57R52, 57R19

Received: 31.08.2006


 English version:
St. Petersburg Mathematical Journal, 2008, 19:4, 625–674

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