Flag bundle
In algebraic geometry, the flag bundle of a flag
of vector bundles on an algebraic scheme X is the algebraic scheme over X:
such that is a flag of vector spaces such that is a vector subspace of of dimension i.
If X is a point, then a flag bundle is a flag variety and if the length of the flag is one, then it is the Grassmann bundle; hence, a flag bundle is a common generalization of these two notions.Construction
A flag bundle can be constructed inductively.
