Holomorphic automorphisms of Danielewski surfaces II -- structure of the overshear group

Abstract

We apply Nevanlinna theory for algebraic varieties to Danielewski surfaces and investigate their group of holomorphic automorphisms. Our main result states that the overshear group which is known to be dense in the identity component of the holomorphic automorphism group, is a free amalgamated product.

24 pages

References in corpus (1)

• A local form of automorphisms of the spectral unit ball

Cited by in corpus (5)

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• Proper holomorphic immersions into Stein manifolds with the density property
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• The density property for Gizatullin surfaces of type $[[0,0,-r_2,-r_3]]$
• On automorphism groups of affine surfaces