Orbit spaces of small tori

Details Orbit spaces of small tori Orbit spaces of small tori

2001-10-12

arxiv.org/abs/math/0110133v1

Result. Math. 43, 13-22 (2003)

Mathematics

Algebraic Geometry

11 pages, 1 figure

Scientific paper

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.

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