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

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

2009-03-03

arxiv.org/abs/0903.0514v1

Mathematics

Algebraic Geometry

18 pages, submitted to Moscow Math.J

Scientific paper

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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