The tame and the wild automorphims of an affine quadric threefold

Stéphane Lamy (1) , Stéphane Vénéreau (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 Department of Mathematics [Basel]

We prove the existence of wild automorphisms on an affine quadric threefold. The method we use is an adaptation of the one used by Shestakov and Umirbaev to prove the existence of wild automorphisms on the affine three dimensional space.

Domaines: Géométrie algébrique [math.AG]

Stéphane Lamy, Stéphane Vénéreau. The tame and the wild automorphims of an affine quadric threefold. Journal of the Mathematical Society of Japan, 2013, 65 (1), pp.299-320. ⟨10.2969/jmsj/06510299⟩. ⟨hal-00649158⟩