6533b7d2fe1ef96bd125e8e7

RESEARCH PRODUCT

Cyclic covers of affine T-varieties

Charlie Petitjean

subject

Pure mathematicsAlgebra and Number TheoryAffine transformationAbelian groupAction (physics)Mathematics

description

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 G m -action.

https://doi.org/10.1016/j.jpaa.2015.02.017