Equivariant embeddings into smooth toric varieties

Details Equivariant embeddings into smooth toric varieties Equivariant embeddings into smooth toric varieties

2000-05-09

arxiv.org/abs/math/0005086v3

Can. J. Math. Vol. 54, No. 3, 554-570 (2002)

Mathematics

Algebraic Geometry

minor changes, to appear in Can. J. Math., 15 pages

Scientific paper

We characterize embeddability of algebraic varieties into smooth toric varieties and prevarieties. Our embedding results hold also in an equivariant context and thus generalize a well known embedding theorem of Sumihiro on quasiprojective G-varieties. The main idea is to reduce the embedding problem to the affine case. This is done by constructing equivariant affine conoids, a tool which extends the concept of an equivariant affine cone over a projective G-variety to a more general framework.

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