Compositions of birational endomorphisms of the affine plane
Algebraic Geometry
2016-01-20 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1307.3977,
title = {Compositions of birational endomorphisms of the affine plane},
author = {Pierrette Cassou-Noguès and Daniel Daigle},
journal= {arXiv preprint arXiv:1307.3977},
year = {2016}
}
Comments
37 pages. Typos corrected, 3.16 improved, one reference added