SYMMETRIC SEXTICS IN THE REAL PROJECTIVE PLANE AND AUXILIARY CONICS


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Abstract

In the present paper, the already-known list of the rigid isotopy classes of nonsingular curves of degree 6 in ℛP2 containing a symmetric curve is obtained in an elementary way. To prove that a curve in a given rigid isotopy class is not symmetric, we study the position of the curve with respect to auxiliary conics. Bibliography: 21 titles.

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