English

Cyclic covers of affine T-varieties

Algebraic Geometry 2014-03-12 v1

Abstract

We consider normal affine T-varieties X endowed with an action of finite abelian group G commuting with the action of T. For such varieties we establish the existence of G-equivariant geometrico-combinatorial presentations in the sense of Altmann and Hausen. As an application, we determine explicit presentations of the Koras-Russell threefolds as bi-cyclic covers of A^3 equipped with a hyperbolic C^*-action.

Keywords

Cite

@article{arxiv.1403.2638,
  title  = {Cyclic covers of affine T-varieties},
  author = {Charlie Petitjean},
  journal= {arXiv preprint arXiv:1403.2638},
  year   = {2014}
}