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arXiv · 1506.05564

Nonrational del Pezzo fibrations admitting an action of the Klein simple group

Takuzo Okada
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Abstract

We present a series of del Pezzo fibrations of degree $2$ admitting an action of the Klein simple group and prove their nonrationality by the reduction modulo $p$ method of Koll\'{a}r. This is relevant to embeddings of the Klein simple group into the Cremona group of rank $3$.

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Takuzo Okada. 2015-06-18. Nonrational del Pezzo fibrations admitting an action of the Klein simple group. https://arxiv.org/abs/1506.05564

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