K-trivial structures on Fano complete intersections

Details K-trivial structures on Fano complete intersections K-trivial structures on Fano complete intersections

2011-10-10

arxiv.org/abs/1110.2048v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

It is proven that any structure of a fibre space into varieties of Kodaira
dimension zero on a generic Fano complete intersection of index one and
dimension $M$ in ${\mathbb P}^{M+k}$ for $M\geq 2k+1$ is a pencil of hyperplane
sections. We also describe $K$-trivial structures on varieties with a pencil of
Fano complete intersections.

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