2003•Communications in Contemporary MathematicsRequires access

ON ARRANGEMENTS OF A PLANE REAL QUINTIC CURVE WITH RESPECT TO A PAIR OF LINES

Anatoly B. Korchagin, G. M. Polotovskiî

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Abstract

In this paper the isotopy classification of unions of an M-curve of degree 5 and two lines in ℝP2 satisfying some conditions of maximality and general position is obtained. This classification consists of 20 isotopy types of such unions.

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In this paper the isotopy classification of unions of an M-curve of degree 5 and two lines in ℝP2 satisfying some conditions of maximality and general position is obtained. This classification consists of 20 isotopy types of such unions.

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Available abstract

In this paper the isotopy classification of unions of an M-curve of degree 5 and two lines in ℝP2 satisfying some conditions of maximality and general position is obtained. This classification consists of 20 isotopy types of such unions.

Key concepts: Isotopy, Mathematics, Quintic function, Degree (music), Plane curve, Position (finance), General position, Pure mathematics

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