Blanc, Jérémy and Yasinsky, Egor. (2020) Quotients of groups of birational transformations of cubic del Pezzo fibrations. Journal de l’École polytechnique, 7. pp. 1089-1112.
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Official URL: https://edoc.unibas.ch/81679/
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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.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebraische Geometrie (Blanc) |
|---|---|
| UniBasel Contributors: | Blanc, Jérémy and Yasinsky, Egor |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| ISSN: | 2429-7100 |
| e-ISSN: | 2270-518X |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Last Modified: | 04 Oct 2021 14:55 |
| Deposited On: | 04 Oct 2021 14:55 |
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