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Nonrational del Pezzo fibrations admitting an action of the Klein simple group (1506.05564v1)
Published 18 Jun 2015 in math.AG
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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