2000/05/31 by Juergen Hausen
Mathematics · #math.AG #msc:14C20 #msc:14E25 #msc:14L30 #msc:14M25
published as Can. J. Math. Vol. 54, No. 3, 554-570 (2002) · minor changes, to appear in Can. J. Math., 15 pages
arxiv created 2001/08/06 · arxiv updated 2009/11/30
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.