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Embedding a set of rational points in lower dimensions

✍ Scribed by Hiroshi Maehara

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 437 KB
Volume: 192
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(98)00075-2

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✦ Synopsis

Let X" be a set of rational points lying on an n-dimensional flat in a Euclidean space. We prove that for n 22, X" is congruent to a set of rational points in R2"+', and that for n >3, X" is similar to a set of rational points in RZn-'.

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