Pierrette Cassou-Noguès, Daniel Daigle
Published 2013-07-15, updated 2013-11-12Version 2
Let A^2 denote the affine plane over an algebraically closed field of arbitrary characteristic. Besides contributing several new results in the general theory of birational endomorphisms of A^2, this article describes certain classes of birational endomorphisms f defined by requiring that the missing curves or contracting curves of f are lines. The last part of the article is concerned with the monoid structure of the set of birational endomorphisms of A^2.
Comments: 37 pages. Typos corrected, 3.16 improved, one reference added
Topological simplicity of the group of automorphisms of the affine plane
Field generators in two variables and birational endomorphisms of $\mathbb{A}^2$
Linearization of holomorphic families of algebraic automorphisms of the affine plane
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