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

Mathematics – Complex Variables

Scientific paper

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24 pages

Scientific paper

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.

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