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arXiv:0903.0514 [math.AG]AbstractReferencesReviewsResources

A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field

Jean-Pierre Serre

Published 2009-03-03Version 1

Let Cr(k) be the Cremona group of rank 2 over a field k, i.e. the group of all k-automorphisms of k(X,Y). We determine the l.c.m. of the orders of the finite subgroups of Cr(k) of order prime to the characteristic of k.

Comments: 18 pages, submitted to Moscow Math.J
Categories: math.AG
Subjects: 14E07
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