6533b82ffe1ef96bd12964b7
RESEARCH PRODUCT
Orbit spaces of Small Tori
Annette A’campo-neuenJuergen Hausensubject
Pure mathematicsMathematics::Commutative AlgebraApplied MathematicsMathematical analysisToric varietyTorusAlgebraic geometryMathematics::Algebraic GeometryMathematics (miscellaneous)Algebraic torusInvariant (mathematics)Mathematics::Symplectic GeometryMathematicsCounterexampledescription
Consider an algebraic torus of small dimension acting on an open subset of ℂn, 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-02-01 | Results in Mathematics |