Supertopes

Details Supertopes Supertopes

2005-01-16

arxiv.org/abs/math/0501245v1

Mathematics

Number Theory

This is a corrected and extended version of a preprint prepared by Rybnikov at the end of 2002. That preprint grew up from the

Scientific paper

A perfect (Delaunay) ellipsoid is an ellipsoid in n-dimensional Euclidean space that does not contain integral points in its interior, but is uniquely defined by integral points that lie on its surface. A perfect Delaunay polytope with respect to a positive quadratic form f() is a polytope with integral vertices that is circumscribed by a perfect Delaunay ellipsoid with an equation whose quadratic part is f(). This document has been corrected on January 15, 2005. Note that it represents the state of the area as of the end of 2002. For recent research on perfect Delaunay polytopes see my recent preprint, with Erdahl and Ordine, math.NT/0408122 on ArXiv.org .

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