Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces.
The automorphism groups of Zariski open affine subsets of the affine plane
We study some properties of the affine plane. First we describe the set of fixed points of a polynomial automorphism of ℂ². Next we classify completely so-called identity sets for polynomial automorphisms of ℂ². Finally, we show that a sufficiently general Zariski open affine subset of the affine plane has a finite group of automorphisms.