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arXiv · 0903.0514

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
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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.

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Jean-Pierre Serre. 2009-03-03. A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field. https://arxiv.org/abs/0903.0514

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