Abstract
Let Γ be a four-dimensional lattice of general position that is admissible for a cube. Assume that this lattice contains at least one point that belongs to the boundary of this cube. We prove that the index of the set of such points can be equal only to 0, 1, or 2. Bibliography: 5 titles.
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References
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 322, 2005, pp. 176–185.
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Smirnov, Y.A. On the index of boundary points of four-dimensional lattices admissible for a cube. J Math Sci 137, 4716–4721 (2006). https://doi.org/10.1007/s10958-006-0267-7
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DOI: https://doi.org/10.1007/s10958-006-0267-7