In algebraic geometry, a homogeneous variety is an algebraic variety on which an algebraic group acts transitively. Homogeneous varieties over an algebraically closed field are quotient varieties G/H where G is an algebraic group and H a subgroup scheme (for instance, an algebraic subgroup).
In algebraic geometry, a homogeneous variety is an algebraic variety on which an algebraic group acts transitively. Homogeneous varieties over an algebraically closed field are quotient varieties G/H where G is an algebraic group and H a subgroup scheme (for instance, an algebraic subgroup).
Source: Wikipedia "Homogeneous variety" · CC BY-SA 4.0
Share this article: X · Bluesky