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Two theorems on point-flat incidences

Published 31 Jul 2017 in math.CO | (1708.00039v2)

Abstract: We improve the theorem of Beck giving a lower bound on the number of $k$-flats spanned by a set of points in real space, and improve the bound of Elekes and T\'oth on the number of incidences between points and $k$-flats in real space.

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