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This article is cited in 1 scientific paper (total in 1 paper)
On the variety of the inflection points of plane cubic curves
Vik. S. Kulikov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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.
Keywords:
plane cubic curves, inflection points, monodromy.
Received: 13.04.2018 Revised: 09.08.2018
Citation:
Vik. S. Kulikov, “On the variety of the inflection points of plane cubic curves”, Izv. Math., 83:4 (2019), 770–795
Linking options:
https://www.mathnet.ru/eng/im8797https://doi.org/10.1070/IM8797 https://www.mathnet.ru/eng/im/v83/i4/p129
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Abstract page: | 372 | Russian version PDF: | 65 | English version PDF: | 18 | References: | 44 | First page: | 19 |
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