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Cyclic covers of affine T-varieties

2014/03/11 by Charlie Petitjean, Petitjean, Charlie
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1403.2638

arxiv created 2014/03/11 · openalex publication_date 2014/03/11 · arxiv updated 2014/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 A3 equipped with a hyperbolic C^*-action.

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