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:
Full text: dvi.gz 32 k, dvi 69 k, ps.gz 536 k, pdf.gz 157 k, pdf 177 k.