Abstract:
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.
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