Orbit spaces of small tori
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0110133,
title = {Orbit spaces of small tori},
author = {A. A'Campo-Neuen and J. Hausen},
journal= {arXiv preprint arXiv:math/0110133},
year = {2007}
}
Comments
11 pages, 1 figure