Geodesic
On the variety of the inflection points of plane cubic curves
Izvestiya. Mathematics , Tome 83 (2019) no. 4, pp. 770-795

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In this paper we study properties of the nine-dimensional variety of the inflection points of plane cubics. We describe the local monodromy groups of the set of inflection points near singular cubic curves and give a detailed description of the normalizations of the surfaces of the inflection points of plane cubic curves belonging to general two-dimensional linear systems of cubics. We also prove the vanishing of the irregularity of a smooth manifold birationally isomorphic to the variety of the inflection points of plane cubics.
Keywords: plane cubic curves, inflection points
Mots-clés : monodromy. 
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     author = {Vik. S. Kulikov},
     title = {On the variety of the inflection points of plane cubic curves},
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Vik. S. Kulikov. On the variety of the inflection points of plane cubic curves. Izvestiya. Mathematics , Tome 83 (2019) no. 4, pp. 770-795. http://geodesic.mathdoc.fr/item/IM2_2019_83_4_a6/