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- W3065169631 abstract "We prove that the group of birational transformations of a del Pezzo fibration of degree 3 over a curve is not simple, by giving a surjective group homomorphism to a free product of infinitely many groups of order 2. As a consequence we also obtain that the Cremona group of rank 3 is not generated by birational maps preserving a rational fibration. Besides, the subgroup of Bir(ℙ 3 ) generated by all connected algebraic subgroups is a proper normal subgroup." @default.
- W3065169631 created "2020-08-24" @default.
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- W3065169631 date "2020-08-18" @default.
- W3065169631 modified "2023-10-12" @default.
- W3065169631 title "Quotients of groups of birational transformations of cubic del Pezzo fibrations" @default.
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- W3065169631 doi "https://doi.org/10.5802/jep.136" @default.
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