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arXiv · 0912.5310

On empty lattice simplices in dimension 4

Margherita Barile·Dominique Bernardi·Alexander Borisov·Jean-Michel Kantor
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Abstract

We give an almost complete classification of empty lattice simplices in dimension 4 using the conjectural results of Mori-Morrison-Morrison, later proved by Sankaran and Bober. In particular, all of these simplices correspond to cyclic quotient singularities, and all but finitely many of them have width bounded by 2.

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Margherita Barile, Dominique Bernardi, Alexander Borisov, Jean-Michel Kantor. 2009-12-29. On empty lattice simplices in dimension 4. https://arxiv.org/abs/0912.5310

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