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Pré-Publication, Document De Travail Année : 2011

Polyhedral divisors and SL_2-actions on affine T-varieties

Résumé

In this paper we classify SL_2-actions on normal affine T-varieties that are normalized by the torus T. This is done in terms of a combinatorial description of T-varieties given by Altmann and Hausen. The main ingredient is a generalization of Demazure's roots of the fan of a toric variety. As an application we give a description of special SL_2-actions on normal affine varieties. We also obtain, in our terms, the classification of quasihomogeneous SL_2-threefolds due to Popov.

Dates et versions

hal-00595725 , version 1 (25-05-2011)

Identifiants

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Ivan Arzhantsev, Alvaro Liendo. Polyhedral divisors and SL_2-actions on affine T-varieties. 2011. ⟨hal-00595725⟩

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