Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2018, Volume 18, Number 4, Pages 659–666
DOI: https://doi.org/10.17323/1609-4514-2018-18-4-659-666 (Mi mmj689) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the freeness of rational cuspidal plane curves

Alexandru Dimcaa, Gabriel Sticlarub

a Université Côte d'Azur, CNRS, LJAD and INRIA, France
b Faculty of Mathematics and Informatics, Ovidius University, Bd. Mamaia 124, 900527 Constanta, Romania
Full-text PDF Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2018-18-4-659-666
Abstract: We bring additional support to the conjecture saying that a rational cuspidal plane curve is either free or nearly free. This conjecture was confirmed for curves of even degree, and in this note we prove it for many odd degrees. In particular, we show that this conjecture holds for the curves of degree at most 34.
Key words and phrases: rational cuspidal curves, Jacobian syzygy, Tjurina number, free curves, nearly free curves.
Bibliographic databases:
Document Type: Article
MSC: Primary 14H45; Secondary 14B05, 14H50, 13D02,32S35
Language: English
Citation: Alexandru Dimca, Gabriel Sticlaru, “On the freeness of rational cuspidal plane curves”, Mosc. Math. J., 18:4 (2018), 659–666
Citation in format AMSBIB
\Bibitem{DimSti18}
\by Alexandru~Dimca, Gabriel~Sticlaru
\paper On the freeness of rational cuspidal plane~curves
\jour Mosc. Math.~J.
\yr 2018
\vol 18
\issue 4
\pages 659--666
\mathnet{http://mi.mathnet.ru/mmj689}
\crossref{https://doi.org/10.17323/1609-4514-2018-18-4-659-666}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000456106700003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85060387865}
Linking options:
  • https://www.mathnet.ru/eng/mmj689
  • https://www.mathnet.ru/eng/mmj/v18/i4/p659
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:183
    References:33
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024