Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions |
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Authors: | O N Karpenkov |
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Institution: | (1) Leiden University, Leiden, The Netherlands |
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Abstract: | In this paper we develop an integer-affine classification of three-dimensional multistory, completely empty convex marked
pyramids. We apply it to obtain the complete lists of compact two-dimensional faces of multidimensional continued fractions
lying in planes at integer distances 2, 3, 4, … to the origin. The faces are considered up to the action of the group of
integer-linear transformations. |
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Keywords: | 2000 Mathematics Subject Classification: 11H06 52C07 |
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