On automorphisms of Danielewski surfaces
Anthony J. Crachiola
Abstract
We develop techniques for computing the AK invariant of a domain with arbitrary characteristic. We use these techniques to describe for any field K the automorphism group of K[X,Y,Z]/(Xn Y - Z2 - h(X)Z), where h(0) 0 and n ≥ 2, as well as the isomorphism classes of these algebras.
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