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arXiv · 1110.2048

K-trivial structures on Fano complete intersections

Aleksandr Pukhlikov
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Abstract

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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Aleksandr Pukhlikov. 2011-10-10. K-trivial structures on Fano complete intersections. https://arxiv.org/abs/1110.2048

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