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Izvestiya: Mathematics, 1996, Volume 60, Issue 5, Pages 1083–1093
DOI: https://doi.org/10.1070/IM1996v060n05ABEH000092
(Mi im92)
 

This article is cited in 5 scientific papers (total in 5 papers)

Some families of Abelian surfaces

I. R. Shafarevich

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: It is proved that for all algebraic curves $\Gamma$ that are coverings of given degree $n$ of a given curve $\Gamma_0$ and all non-constant families of “false elliptic curves” over $\Gamma$, their generic fibres belong to only finitely many types up to isomorphism over the algebraic closure of the field of rational functions on $\Gamma$. Applications to the theory of K3 surfaces are mentioned.
Received: 11.01.1996
Bibliographic databases:
Document Type: Article
MSC: Primary 11G10, 14K15; Secondary 11R52, 14J28
Language: English
Original paper language: Russian
Citation: I. R. Shafarevich, “Some families of Abelian surfaces”, Izv. Math., 60:5 (1996), 1083–1093
Citation in format AMSBIB
\Bibitem{Sha96}
\by I.~R.~Shafarevich
\paper Some families of Abelian surfaces
\jour Izv. Math.
\yr 1996
\vol 60
\issue 5
\pages 1083--1093
\mathnet{http://mi.mathnet.ru/eng/im92}
\crossref{https://doi.org/10.1070/IM1996v060n05ABEH000092}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1427401}
\zmath{https://zbmath.org/?q=an:0909.14026}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0042275999}
Linking options:
  • https://www.mathnet.ru/eng/im92
  • https://doi.org/10.1070/IM1996v060n05ABEH000092
  • https://www.mathnet.ru/eng/im/v60/i5/p213
  • This publication is cited in the following 5 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:622
    Russian version PDF:268
    English version PDF:15
    References:80
    First page:3
     
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