serre@noos.fr

Submission: 2008, May 13

Let Cr(k) = Aut k(X,Y) be the Cremona group of rank 2 over a field k. We give a sharp multiplicative bound M(k) for the orders of the finite subgroups A of Cr(k) such that |A| is prime to char(k). For instance, if k is the field Q , we have M(k) = 120960 and if |k| = 7 , we have M(k) = 847065600.

2000 Mathematics Subject Classification:

Keywords and Phrases:

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