Embedding a set of rational points in lower dimensions
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Abstract Let X n be a set of rational points lying on an n -dimensional flat in a Euclidean space. We prove that for n ⩾ 2, X n is congruent to a set of rational points in R 2n+1 , and that for n ⩾ 3, X n is similar to a set of rational points in R 2n-1 .
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