2001/10/12 by A. A'Campo-Neuen, J. Hausen
Mathematics · #math.AG #msc:14L30 #msc:14L24 #msc:14M25 #msc:14C20 #msc:14E25
published as Result. Math. 43, 13-22 (2003) · 11 pages, 1 figure
arxiv created 2001/10/12 · arxiv updated 2009/11/30
Consider an algebraic torus of small dimension acting on an open subset of a complex vector space, or more generally on a quasiaffine variety such that a separated orbit space exists. We discuss under which conditions this orbit space is quasiprojective. One of our counterexamples provides a toric variety with enough effective invariant Cartier divisors that is not embeddable into a smooth toric variety.