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This article is cited in 1 scientific paper (total in 1 paper)
An analogue of the Torelli theorem for Kummer surfaces of Jacobians
V. V. Nikulin
Abstract:
In this paper we obtain algebraic criteria that isolate the class of Kummer surfaces of Jacobians of curves of genus 2 within the class of $K3$ surfaces. In addition, we prove analogues of Torelli's theorems for these surfaces and find a “standard” representation for them as a complete intersection of three quadrics in $\mathbf P^5$.
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Mathematics of the USSR-Izvestiya, 1974, 8:1, 21–41
Bibliographic databases:
UDC:
513.6
MSC: 14J25, 14H40, 14D20 Received: 11.01.1973
Citation:
V. V. Nikulin, “An analogue of the Torelli theorem for Kummer surfaces of Jacobians”, Izv. Akad. Nauk SSSR Ser. Mat., 38:1 (1974), 22–41; Math. USSR-Izv., 8:1 (1974), 21–41
Citation in format AMSBIB
\Bibitem{Nik74}
\by V.~V.~Nikulin
\paper An analogue of the Torelli theorem for Kummer surfaces of Jacobians
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 1
\pages 22--41
\mathnet{http://mi.mathnet.ru/izv1890}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=357410}
\zmath{https://zbmath.org/?q=an:0305.14010}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 1
\pages 21--41
\crossref{https://doi.org/10.1070/IM1974v008n01ABEH002094}
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http://mi.mathnet.ru/eng/izv1890 http://mi.mathnet.ru/eng/izv/v38/i1/p22
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This publication is cited in the following articles:
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V. A. Krasnov, “Real Kummer surfaces”, Izv. Math., 83:1 (2019), 65–103
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