On restriction of roots on affine T-varieties

Details On restriction of roots on affine T-varieties On restriction of roots on affine T-varieties

2011-04-04

arxiv.org/abs/1104.0560v3

Mathematics

Algebraic Geometry

10 pages, a complete description of the restriction of roots in the case of affine toric surfaces is added

Scientific paper

Let X be a normal affine algebraic variety with regular action of a torus \TT and T\subset\TT be a subtorus. We prove that each root of X with respect to T can be obtained by restriction of some root of X with respect to \TT. This allows to get an elementary proof of the description of roots of the affine Cremona group. Several results on restriction of roots in the case of subtorus action on an affine toric variety are obtained.

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