Blanc, Jérémy and Stampfli, Immanuel. (2015) Automorphisms of the plane preserving a curve. Algebraic geometry, Vol. 2, H. 2. pp. 193-213.
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Official URL: http://edoc.unibas.ch/dok/A6319183
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Abstract
We study the group of automorphisms of the affine plane preserv- ing some given curve, over any field. The group is proven to be algebraic, except in the case where the curve is a bunch of parallel lines. Moreover, a classification of the groups of positive dimension occuring is also given in the case where the curve is geometrically irreducible and the field is perfect.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebraische Geometrie (Blanc) |
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| UniBasel Contributors: | Blanc, Jérémy |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Foundation Compositio Mathematica |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
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| Last Modified: | 02 Oct 2015 10:00 |
| Deposited On: | 02 Oct 2015 10:00 |
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