Affine Toric SL(2)-embeddings

Details Affine Toric SL(2)-embeddings Affine Toric SL(2)-embeddings

2007-12-30

arxiv.org/abs/0801.0162v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

10.1070/SM2008v199n03ABEH003922

In 1973 V.L.Popov classified affine SL(2)-embeddings. He proved that a locally transitive SL(2)-action on a normal affine three-dimensional variety X is uniquely determined by a pair (p/q, r), where 0

X is a dense open equivariant embedding. Then X is toric if and only if there exist a quasitorus T and a $(G\times T)$-module V such that $X\stackrel{G}{\cong} V//T$. The key role in the proof plays D. Cox's construction.

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