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

Authors :: Andrist, Rafael B.
Kutzschebauch, Frank
Lind, Andreas
Publication Year :: 2011
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.<br />Comment: 24 pages

Subjects :: Mathematics - Complex Variables
32M17 (Primary) 32A22 (Secondary)

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