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Russian Mathematical Surveys, 2007, Volume 62, Issue 6, Pages 1043–1119
DOI: https://doi.org/10.1070/RM2007v062n06ABEH004477
(Mi rm8530)
 

This article is cited in 16 scientific papers (total in 16 papers)

Hurwitz curves

Vik. S. Kulikov

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: The present paper is a survey of recent results about Hurwitz curves, their braid monodromy invariants, and their applications to $H$-isotopy and regular homotopy problems. The second part of the survey is devoted to a discussion of the applicability of braid monodromy invariants of branch curves for generic coverings of the projective plane as invariants distinguishing connected components of the moduli space of algebraic surfaces (in the algebraic case) and distinguishing symplectic structures on four-dimensional varieties (in the symplectic case).
Received: 16.01.2007
Bibliographic databases:
Document Type: Article
UDC: 514.7
MSC: Primary 14E20; Secondary 14H30, 14H55
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, “Hurwitz curves”, Russian Math. Surveys, 62:6 (2007), 1043–1119
Citation in format AMSBIB
\Bibitem{Kul07}
\by Vik.~S.~Kulikov
\paper Hurwitz curves
\jour Russian Math. Surveys
\yr 2007
\vol 62
\issue 6
\pages 1043--1119
\mathnet{http://mi.mathnet.ru//eng/rm8530}
\crossref{https://doi.org/10.1070/RM2007v062n06ABEH004477}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2382475}
\zmath{https://zbmath.org/?q=an:1141.14311}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2007RuMaS..62.1043K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000255833100001}
\elib{https://elibrary.ru/item.asp?id=25787476}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-44449177932}
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  • https://doi.org/10.1070/RM2007v062n06ABEH004477
  • https://www.mathnet.ru/eng/rm/v62/i6/p3
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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