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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1982 Volume 46, Issue 2, Pages 244–268 (Mi im1615)

This article is cited in 8 papers

The global Torelli theorem for Prym varieties at a generic point

V. I. Kanev


Abstract: In this paper it is proved that any unramified double cover of a sufficiently general (in the sense of moduli) curve of genus $\geqslant9$ can be uniquely recovered from its Prym variety with its canonical polarization.
Bibliography: 23 titles.

UDC: 513.6

MSC: Primary 14H10; Secondary 32G15, 14E05

Received: 17.11.1981


 English version:
Mathematics of the USSR-Izvestiya, 1983, 20:2, 235–257

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© Steklov Math. Inst. of RAS, 2024