Margherita Barile, Dominique Bernardi, Alexander Borisov, Jean-Michel Kantor

On empty lattice simplices in dimension 4

Proc. Amer. Math. Soc. 139 (2011), 4247-4253.

We give an almost complete classification of empty lattice simplices in dimension 4 using the conjectural results of Mori-Morrison-Morrison, which were 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.