Non-singular affine surfaces with self-maps
R.V. Gurjar, De-Qi Zhang
TL;DR
This paper classifies surjective self-maps of affine surfaces with degree at least two based on their log Kodaira dimension, providing a comprehensive understanding of their structure.
Contribution
It offers a classification of such self-maps on affine surfaces according to the log Kodaira dimension, a novel categorization in this context.
Findings
Classification based on log Kodaira dimension
Surjective self-maps of degree ≥ 2 characterized
Structural properties of affine surfaces elucidated
Abstract
We classify surjective self-maps (of degree at least two) of affine surfaces according to the log Kodaira dimension.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows