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- W1675148976 abstract "A lattice Delaunay polytope is perfect if its Delaunay sphere is its only circumscribed ellipsoid. A perfect Delaunay polytope naturally corresponds to a positive quadratic function on Z^n that can be recovered uniquely from the data consisting of its minimum and all points of Z^n where the minimum is achieve - a quadratic function with this uniqueness property is also called perfect. We develop a structural theory of perfect Delaunay polytopes and quadratic functions. We also describe all known perfect Delaunay polytopes in dimensions one through eight: our conjecture is that this list is complete." @default.
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- W1675148976 date "2007-01-01" @default.
- W1675148976 modified "2023-09-23" @default.
- W1675148976 title "Perfect Delaunay polytopes in low dimensions." @default.
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