Song parody of
Complex Grassmannian
by KARDBORR
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Smooth compact manifolds
Will this complex subspace
Bounded not by the dimensions
A dignitary of linear independence
Homogeneous coordinates of the elements
Will rank the matrices that brought them here
When invertible
Reduced to column echelon form
Fibering these planes to reach the vector group
Will generalize the tautological bundle of a projective space
Bounded not by the dimensions
A dignitary of linear independence
Smooth compact manifolds
Will this complex subspace
Bounded not by the dimensions
A dignitary of linear independence
Homogeneous coordinates of the elements
Will rank the matrices that brought them here
When invertible
Reduced to column echelon form
Fibering these planes to reach the vector group
Will generalize the tautological bundle of a projective space
Bounded not by the dimensions
A dignitary of linear independence