Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya: Mathematics, 2019, Volume 83, Issue 4, Pages 770–795
DOI: https://doi.org/10.1070/IM8797 (Mi im8797) 		 
On the variety of the inflection points of plane cubic curves

Vik. S. Kulikov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (626 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM8797
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2019, Volume 83, Issue 4, Pages 129–157
DOI: https://doi.org/10.4213/im8797
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. RAN. Ser. Mat., 83:4 (2019), 129–157; Izv. Math., 83:4 (2019), 770–795
Citation in format AMSBIB
\Bibitem{Kul19}
\by Vik.~S.~Kulikov
\paper On the variety of the inflection points of plane cubic curves
\jour Izv. RAN. Ser. Mat.
\yr 2019
\vol 83
\issue 4
\pages 129--157
\mathnet{http://mi.mathnet.ru/im8797}
\crossref{https://doi.org/10.4213/im8797}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3985693}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2019IzMat..83..770K}
\elib{https://elibrary.ru/item.asp?id=38590299}
\transl
\jour Izv. Math.
\yr 2019
\vol 83
\issue 4
\pages 770--795
\crossref{https://doi.org/10.1070/IM8797}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000487318500006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074754600}
Linking options:
  • https://www.mathnet.ru/eng/im8797
  • https://doi.org/10.1070/IM8797
  • https://www.mathnet.ru/eng/im/v83/i4/p129
    • Related presentations:
    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:324
    Russian version PDF:53
    English version PDF:14
    References:34
    First page:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024