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Affine Spaces within Projective Spaces (1304.0093v1)
Published 30 Mar 2013 in math.AG and math.RA
Abstract: We endow the set of complements of a fixed subspace of a projective space with the structure of an affine space, and show that certain lines of such an affine space are affine reguli or cones over affine reguli. Moreover, we apply our concepts to the problem of describing dual spreads. We do not assume that the projective space is finite-dimensional or pappian.
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