English

Smooth contractible threefolds with hyperbolic $\mathbb{G}_{m}$-actions via ps-divisors

Algebraic Geometry 2017-02-14 v1

Abstract

The aim of this note is to give an alternative proof of a theorem of Koras and Russell, that is, a characterization of smooth contractible affine varieties endowed with a hyperbolic action of the group GmC*\mathbb{G}_{m}\simeq\mathbb{C}^{\text{*}}, using the language of polyhedral divisors developed by Altmann and Hausen as generalization of Q\mathbb{Q}-divisors.

Keywords

Cite

@article{arxiv.1702.03739,
  title  = {Smooth contractible threefolds with hyperbolic $\mathbb{G}_{m}$-actions via ps-divisors},
  author = {Charlie Petitjean},
  journal= {arXiv preprint arXiv:1702.03739},
  year   = {2017}
}
R2 v1 2026-06-22T18:16:43.337Z