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arXiv · 1403.2638

Cyclic covers of affine T-varieties

Charlie Petitjean
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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.

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Charlie Petitjean. 2014-03-11. Cyclic covers of affine T-varieties. https://arxiv.org/abs/1403.2638

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