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Mathematics of the USSR-Izvestiya, 1981, Volume 17, Issue 3, Pages 523–566
DOI: https://doi.org/10.1070/IM1981v017n03ABEH001371
(Mi im1966)
 

This article is cited in 10 scientific papers (total in 10 papers)

The intermediate Jacobian of the double covering of $P^3$ branched at a quartic

A. S. Tikhomirov
References:
Abstract: In this paper we study the intermediate Jacobian $J_3(X)$ of a double covering $X$ of $P^3$ branched at a smooth quartic which does not contain projective lines. We prove an analogue of the Riemann theorem for the Poincare's divisor of the intermediate Jacobian $J_3(X)$, the global Torelli theorem for $X$, and the nonrationality of $X$.
Bibliography: 13 titles.
Received: 23.04.1980
Bibliographic databases:
UDC: 512.776
MSC: Primary 14E20, 14J30, 14K30; Secondary 14J15, 14J25, 14C30, 14E22, 14E35, 14M20, 14N05, 3
Language: English
Original paper language: Russian
Citation: A. S. Tikhomirov, “The intermediate Jacobian of the double covering of $P^3$ branched at a quartic”, Math. USSR-Izv., 17:3 (1981), 523–566
Citation in format AMSBIB
\Bibitem{Tik80}
\by A.~S.~Tikhomirov
\paper The intermediate Jacobian of the double covering of $P^3$ branched at a~quartic
\jour Math. USSR-Izv.
\yr 1981
\vol 17
\issue 3
\pages 523--566
\mathnet{http://mi.mathnet.ru//eng/im1966}
\crossref{https://doi.org/10.1070/IM1981v017n03ABEH001371}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=603580}
\zmath{https://zbmath.org/?q=an:0476.14017|0455.14025}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NK82000005}
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  • https://doi.org/10.1070/IM1981v017n03ABEH001371
  • https://www.mathnet.ru/eng/im/v44/i6/p1329
    Erratum
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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