Cyclic covers of affine T-varieties

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00958045
Contributor : Charlie Petitjean <>
Submitted on : Tuesday, March 11, 2014 - 4:41:42 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
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  • HAL Id : hal-00958045, version 1
  • ARXIV : 1403.2638

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Charlie Petitjean. Cyclic covers of affine T-varieties. 2014. ⟨hal-00958045⟩

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