On Cremona transformations of prime order

Arnaud Beauville (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

We prove that there are exactly two conjugacy classes of order 5 in the Cremona group of birational transformations of P^2. This completes the classification of conjugacy classes of prime order elements in the Cremona group.

Domaines: Géométrie algébrique [math.AG]

Arnaud Beauville. On Cremona transformations of prime order. 2004. ⟨hal-00001113v2⟩