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arXiv · 1411.5484

Complete algebraic vector fields on affine surfaces

Shulim Kaliman·Frank Kutzschebauch·Matthias Leuenberger
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Abstract

Let $\AAutH (X)$ be the subgroup of the group $\AutH (X)$ of holomorphic automorphisms of a normal affine algebraic surface $X$ generated by elements of flows associated with complete algebraic vector fields. Our main result is a classification of all normal affine algebraic surfaces $X$ quasi-homogeneous under $\AAutH (X)$ in terms of the dual graphs of the boundaries $\bX \setminus X$ of their SNC-completions $\bX$.

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Shulim Kaliman, Frank Kutzschebauch, Matthias Leuenberger. 2014-11-20. Complete algebraic vector fields on affine surfaces. https://arxiv.org/abs/1411.5484

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