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On some extensions of generalized quadrangles of grid type

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We prove that any affine-Cn-geometry with residues of grid type satisfying the Intersection Property is either an affine polar space or a standard quotient of an affine polar space in the sense of [7]. Dedicated to Professor Giuseppe Tallini on his 60th birthday

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Rinauro, S. On some extensions of generalized quadrangles of grid type. J Geom 38, 158–164 (1990). https://doi.org/10.1007/BF01222900

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