The minimal dimension of a faithful linear representation of all finite subgroups of the two-dimensional Cremona group is 8 when the field contains a primitive cube root of unity, 6 otherwise, and infinite in positive characteristic.
Finite abelian subgroups of the C remona group of the plane
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Representations of finite subgroups of Cremona groups
The minimal dimension of a faithful linear representation of all finite subgroups of the two-dimensional Cremona group is 8 when the field contains a primitive cube root of unity, 6 otherwise, and infinite in positive characteristic.