On fibrations with flat fibers
classification
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math.COmath.DG
keywords
affineadamscloselycompositiondescribefiberedfibersfibrations
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We describe pairs (p,n) such that n-dimensional affine space is fibered by pairwise skew p-dimensional affine subspaces. The problem is closely related with the theorem of Adams on vector fields on spheres and the Hurwitz-Radon theory of composition of quadratic forms.
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