Homogeneous Toric Varieties
Copyright policy )Homogeneous Toric Varieties
A description of transitive actions of a semisimple algebraic group G on toric varieties is obtained. Every toric variety admitting such an action lies between a product of punctured affine spaces and a product of projective spaces. The result is based on the Cox realization of a toric variety as a quotient space of an open subset of a vector space V by a quasitorus action and on investigation of the G-module structure of V.
9 pages
- National Research University Higher School of Economics Russian Federation
Homogeneous spaces and generalizations, 14M17; 14M25; 14L30, Group actions on varieties or schemes (quotients), toric variety, 14L30, cox construction, Mathematics - Algebraic Geometry, homogeneous space, FOS: Mathematics, Representation Theory (math.RT), Toric varieties, Newton polyhedra, Okounkov bodies, 14M25, Algebraic Geometry (math.AG), Mathematics - Representation Theory, 14M17
Homogeneous spaces and generalizations, 14M17; 14M25; 14L30, Group actions on varieties or schemes (quotients), toric variety, 14L30, cox construction, Mathematics - Algebraic Geometry, homogeneous space, FOS: Mathematics, Representation Theory (math.RT), Toric varieties, Newton polyhedra, Okounkov bodies, 14M25, Algebraic Geometry (math.AG), Mathematics - Representation Theory, 14M17
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).1 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!