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arXiv · 1307.3977

Compositions of birational endomorphisms of the affine plane

Pierrette Cassou-Noguès·Daniel Daigle
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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.

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Pierrette Cassou-Noguès, Daniel Daigle. 2013-07-15. Compositions of birational endomorphisms of the affine plane. https://doi.org/10.2140/pjm.2014.272.353

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