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

Abstract

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.

arXiv comment18 pages, submitted to Moscow Math.J

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