This article is cited in 3 papers

A local Torelli theorem for cyclic coverings of $P^n$ with positive canonical class

K. I. Kii


Abstract: In this paper we prove a local Torelli theorem for cyclic coverings of $P^n$ with $K>0$, and also for varieties which have $K>0$, with $|K|$ having no fixed components and which is not a pencil, $h^{n-1,0}(V)=0$ and $\dim H^0(V,\Omega^{n-1}(K))<p_g-1$.
Bibliography: 5 titles.

UDC: 513.015.7

MSC: Primary 14C30; Secondary 32G13, 32G20, 14F10, 53C55

Received: 22.02.1973

 English version: Mathematics of the USSR-Sbornik, 1973, 21:1, 145–154

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