The tame and the wild automorphisms of an affine quadric threefold

Abstract

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.

Minor corrections. To appear in Journal of the Mathematical Society of Japan

References in corpus (1)

• On exotic algebraic structures on affine spaces

Cited by in corpus (4)

• The tame automorphism group of an affine quadric threefold acting on a square complex
• Degree growth for tame automorphisms of an affine quadric threefold
• On the acylindrical hyperbolicity of the tame automorphism group of ${\mathrm{SL}}_2(\mathbb{C})$
• Automorphisms of certain affine complements in the projective space