05-34
Lattice Delone simplices with super-exponential volume
by Santos, F.; Schürmann, A.; Vallentin, F.
Preprint series: 05-34, Preprints
- MSC:
- 52B20 Lattice polytopes (including relations with commutative algebra and algebraic geometry), See also {06A08, 13F20, 13Hxx}
- 52C22 Tilings in $n$ dimensions, See also {05B45, 51M20}
- 11H99 None of the above but in this section
Abstract: In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves the previous best lower bound, which was linear.
Keywords: Delone, simplex, volume, bounds
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