Homogeneous variety

In algebraic geometry, a homogeneous variety is an algebraic variety of the form G/P, G a linear algebraic group, P a parabolic subgroup. It is a smooth projective variety. If P is a Borel subgroup, it is usually called a flag variety.

单词	Homogeneous variety
释义	Homogeneous variety 英语百科 Homogeneous variety In algebraic geometry, a homogeneous variety is an algebraic variety of the form G/P, G a linear algebraic group, P a parabolic subgroup. It is a smooth projective variety. If P is a Borel subgroup, it is usually called a flag variety.
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