Embeddings of SL(2,Z) into the Cremona group

Blanc, Jérémy and Déserti, Julie. (2012) Embeddings of SL(2,Z) into the Cremona group. Transformation groups, Vol. 17, H. 1. pp. 21-50.

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Official URL: http://edoc.unibas.ch/dok/A6002613

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Geometric and dynamic properties of embeddings of SL(2;Z) into the Cremona group are studied. Infinitely many non-conjugate embeddings which preserve the type (i.e. which send elliptic, parabolic and hyperbolic elements onto elements of the same type) are provided. The existence of infinitely many non-conjugate elliptic, parabolic and hyperbolic embeddings is also shown. In particular, a group G of automorphisms of a smooth surface S obtained by blowing-up 10 points of the complex projective plane is given. The group G is isomorphic to SL(2;Z), preserves an elliptic curve and all its elements of infinite order are hyperbolic.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebra (Blanc)
UniBasel Contributors:Blanc, Jérémy
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:08 Nov 2012 16:22
Deposited On:08 Nov 2012 16:14

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