Birational automorphisms of algebraic varieties with a pencil of cubic surfaces
نویسنده
چکیده
It is proved that on a smooth algebraic variety, fibered into cubic surfaces over the projective line and sufficiently “twisted” over the base, there is only one pencil of rational surfaces – that is, this very pencil of cubics. In particular, this variety is non-rational; moreover, it can not be fibered into rational curves. The proof is obtained by means of the method of maximal singularities.
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تاریخ انتشار 1996