On the index of boundary points of four-dimensional lattices admissible for a cube |
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| Authors: | Yu. A. Smirnov |
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| Affiliation: | (1) Khabarovsk Department of the Institute of Applied Mathematics, the Far Eastern Branch of the Russian Academy of Sciences, Russia |
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| 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. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 322, 2005, pp. 176–185. |
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