This article is cited in 8 papers

The local Torelli theorem for varieties with divisible canonical class

K. I. Kii


Abstract: In this paper the local Torelli theorem is proved for a number of varieties with divisible canonical class: surfaces with a family of elliptic curves and base $P^1$, fiberings by varieties with $K=0$ whose base is a curve, complete intersections, cyclic coverings, and surfaces with $V$, $K>0$, $\operatorname{Pic}V=Z$ and $h^{1,0}=0$, whose invariants satisfy certain conditions.
Bibliography: 7 titles.

UDC: 513.6

MSC: Primary 14E20; Secondary 14H99, 14J99

Received: 08.02.1977

 English version: Mathematics of the USSR-Izvestiya, 1978, 12:1, 53–67

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