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Izvestiya: Mathematics, 2003, Volume 67, Issue 3, Pages 499–534
DOI: https://doi.org/10.1070/IM2003v067n03ABEH000436
(Mi im436)
 

This article is cited in 28 scientific papers (total in 28 papers)

On braid monodromy factorizations

V. M. Kharlamova, Vik. S. Kulikovb

a University Louis Pasteur
b Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: We introduce and develop a language of semigroups over the braid groups to study the braid monodromy factorizations (bmf's) of plane algebraic curves and other related objects. As an application, we give a new proof of Orevkov's theorem on the realization of bmf's over a disc by algebraic curves and show that the complexity of such a realization cannot be bounded in terms of the types of factors of the bmf. We also prove that the type of a bmf distinguishes Hurwitz curves with singularities of inseparable type up to $H$-isotopy and $J$-holomorphic cuspidal curves in $\mathbb{CP}^2$ up to symplectic isotopy.
Received: 23.01.2003
Bibliographic databases:
Document Type: Article
UDC: 512.772.1+514.756.44
MSC: 14E20
Language: English
Original paper language: Russian
Citation: V. M. Kharlamov, Vik. S. Kulikov, “On braid monodromy factorizations”, Izv. Math., 67:3 (2003), 499–534
Citation in format AMSBIB
\Bibitem{KhaKul03}
\by V.~M.~Kharlamov, Vik.~S.~Kulikov
\paper On braid monodromy factorizations
\jour Izv. Math.
\yr 2003
\vol 67
\issue 3
\pages 499--534
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\crossref{https://doi.org/10.1070/IM2003v067n03ABEH000436}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1992194}
\zmath{https://zbmath.org/?q=an:1076.14022}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-13444254992}
Linking options:
  • https://www.mathnet.ru/eng/im436
  • https://doi.org/10.1070/IM2003v067n03ABEH000436
  • https://www.mathnet.ru/eng/im/v67/i3/p79
  • This publication is cited in the following 28 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:601
    Russian version PDF:216
    English version PDF:29
    References:82
    First page:1
     
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