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Izvestiya: Mathematics, 2019, Volume 83, Issue 4, Pages 770–795
DOI: https://doi.org/10.1070/IM8797
(Mi im8797)
 

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
References:
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
Bibliographic databases:
Document Type: Article
UDC: 512.774.4
MSC: Primary 14H50; Secondary 14H52
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, “On the variety of the inflection points of plane cubic curves”, Izv. Math., 83:4 (2019), 770–795
Citation in format AMSBIB
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\by Vik.~S.~Kulikov
\paper On the variety of the inflection points of plane cubic curves
\jour Izv. Math.
\yr 2019
\vol 83
\issue 4
\pages 770--795
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Linking options:
  • https://www.mathnet.ru/eng/im8797
  • https://doi.org/10.1070/IM8797
  • https://www.mathnet.ru/eng/im/v83/i4/p129
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    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:372
    Russian version PDF:65
    English version PDF:18
    References:44
    First page:19
     
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