Orbit spaces of Small Tori
Copyright policy )Orbit spaces of Small Tori
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.
11 pages, 1 figure
- University of Konstanz Germany
- Johannes Gutenberg University of Mainz Germany
Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), toric variety, geometric quotient, orbit spaces, 14L30, 14L24, 14M25, 14C20, 14E25, Mathematics - Algebraic Geometry, Geometric invariant theory, FOS: Mathematics, torus actions, Divisors, linear systems, invertible sheaves, non-embeddability, Toric varieties, Newton polyhedra, Okounkov bodies, Embeddings in algebraic geometry, Algebraic Geometry (math.AG), info:eu-repo/classification/ddc/004
Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), toric variety, geometric quotient, orbit spaces, 14L30, 14L24, 14M25, 14C20, 14E25, Mathematics - Algebraic Geometry, Geometric invariant theory, FOS: Mathematics, torus actions, Divisors, linear systems, invertible sheaves, non-embeddability, Toric varieties, Newton polyhedra, Okounkov bodies, Embeddings in algebraic geometry, Algebraic Geometry (math.AG), info:eu-repo/classification/ddc/004
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!