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, 2022, Volume 22, Number 3, Pages 427–450
DOI: https://doi.org/10.17323/1609-4514-2022-22-3-427-450 (Mi mmj833) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Bounded Negativity Conjecture and singular plane curves

Alexandru Dimcaa, Brian Harbourneb, Gabriel Sticlaruc

a Université Côte d'Azur, CNRS, LJAD, France and Simion Stoilow Institute of Mathematics, P.O. Box 1-764, RO-014700 Bucharest, Romania
b Math Department, University of Nebraska–Lincoln, Lincoln, NE 68588 USA
c Faculty of Mathematics and Informatics, Ovidius University, Bd. Mamaia 124, 900527 Constanta, Romania
Full-text PDF Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2022-22-3-427-450
URL: https://www.mathjournals.org/mmj/2022-022-003/2022-022-003-004.html
Abstract: There are no known failures of Bounded Negativity in characteristic $0$. In the light of recent work showing the Bounded Negativity Conjecture fails in positive characteristics for rational surfaces, we propose new characteristic free conjectures as a replacement. We also develop bounds on numerical characteristics of curves constraining their negativity. For example, we show that the $H$-constant of a rational curve $C$ with at most $9$ singular points satisfies $H(C)>-2$ regardless of the characteristic.
Key words and phrases: bounded negativity conjecture, plane curves, singularities, rational curves, ordinary singularities.
Document Type: Article
MSC: Primary 14H50; Secondary 14B05, 32S05
Language: English
Citation: Alexandru Dimca, Brian Harbourne, Gabriel Sticlaru, “On the Bounded Negativity Conjecture and singular plane curves”, Mosc. Math. J., 22:3 (2022), 427–450
Citation in format AMSBIB
\Bibitem{DimHarSti22}
\by Alexandru~Dimca, Brian~Harbourne, Gabriel~Sticlaru
\paper On the Bounded Negativity Conjecture and singular plane curves
\jour Mosc. Math.~J.
\yr 2022
\vol 22
\issue 3
\pages 427--450
\mathnet{http://mi.mathnet.ru/mmj833}
\crossref{https://doi.org/10.17323/1609-4514-2022-22-3-427-450}
Linking options:
  • https://www.mathnet.ru/eng/mmj833
  • https://www.mathnet.ru/eng/mmj/v22/i3/p427
    • 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
    		Moscow Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025