On Generalised Danielewski Surfaces over fields of arbitrary characteristic
Abstract
In this paper we study exponential maps (Ga-actions) on the family of affine two dimensional surfaces of the form f(x)y=φ(x,z) over arbitrary fields, describe the Makar-Limanov invariant and Derksen invariant of these surfaces, give a complete characterization of isomorphisms between such surfaces and display a subfamily which provides counterexamples to the cancellation problem.
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