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Connection between the rigid isotopy class of a fifth-order nonsingular curve in $$RP^ 2$$ and its disposition with respect to a line. (English. Russian original) Zbl 0627.14039
Funct. Anal. Appl. 20, 330-332 (1986); translation from Funkts. Anal. Prilozh. 20, No. 4, 87-88 (1986).
Let a mutual location of a straight line and a non-singular curve $$K_ m^{\ell}$$ of order m, containing exactly $$\ell$$ ovals, be given in $$RP^ 2$$. In the first non-trivial case $$m=5$$, it is determined to what rigid isotopy class the curve $$K_ 5^{\ell}$$ can belong. Mainly $$\ell =4$$ is considered.
Reviewer: V.F.Ignatenko
##### MSC:
 14N05 Projective techniques in algebraic geometry 14H45 Special algebraic curves and curves of low genus 14Pxx Real algebraic and real-analytic geometry 14F35 Homotopy theory and fundamental groups in algebraic geometry
isotopy
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##### References:
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