Geodesic
Rigid isotopy classification of real three-dimensional cubics
Izvestiya. Mathematics , Tome 70 (2006) no. 4, pp. 731-768.

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We prove that the space of non-singular real three-dimensional cubics has precisely nine connected components. We also study the space of real canonical curves of genus 4 and prove, in particular, that it consists of eight connected components. 
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V. A. Krasnov. Rigid isotopy classification of real three-dimensional cubics. Izvestiya. Mathematics , Tome 70 (2006) no. 4, pp. 731-768. http://geodesic.mathdoc.fr/item/IM2_2006_70_4_a4/

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