Cyclic covers of affine T-varieties

Charlie Petitjean (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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.

Mots clés: affine T-varieties; hyperbolic C^*-actions; Koras-Russell threefolds; cyclic covers

Domaines: Géométrie algébrique [math.AG]

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