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Izvestiya: Mathematics, 1995, Volume 59, Issue 6, Pages 1173–1192
DOI: https://doi.org/10.1070/IM1995v059n06ABEH000053 (Mi im53) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On plane algebraic curves of positive Albanese dimension

Vik. S. Kulikov

Moscow State University of Railway Communications
English version PDF (936 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM1995v059n06ABEH000053
Abstract: A notion of Albanese dimension of a plane algebraic curve is introduced as the maximum of the dimensions of the images of Albanese mapping of cyclic coverings of the plane ramified along this curve. A necessary condition for a curve to have Albanese dimension equal to one is given in terms of its equation. This condition is sufficient for a generic curve. A complete description of the Alexander polynomials of plane curves of Albanese dimension one is given. Also the images of the Albanese mappings of cyclic coverings ramified along such curves are described completely.
Received: 04.04.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1995, Volume 59, Issue 6, Pages 75–94
Bibliographic databases:
Document Type: Article
MSC: 14H30
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, “On plane algebraic curves of positive Albanese dimension”, Izv. RAN. Ser. Mat., 59:6 (1995), 75–94; Izv. Math., 59:6 (1995), 1173–1192
Citation in format AMSBIB
\Bibitem{Kul95}
\by Vik.~S.~Kulikov
\paper On plane algebraic curves of positive Albanese dimension
\jour Izv. RAN. Ser. Mat.
\yr 1995
\vol 59
\issue 6
\pages 75--94
\mathnet{http://mi.mathnet.ru/im53}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1481615}
\zmath{https://zbmath.org/?q=an:0939.14013}
\transl
\jour Izv. Math.
\yr 1995
\vol 59
\issue 6
\pages 1173--1192
\crossref{https://doi.org/10.1070/IM1995v059n06ABEH000053}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995UR47200004}
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  • https://doi.org/10.1070/IM1995v059n06ABEH000053
  • https://www.mathnet.ru/eng/im/v59/i6/p75
    • This publication is cited in the following 8 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
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    Abstract page:271
    Russian version PDF:85
    English version PDF:10
    References:50
    First page:1
     
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