On empty lattice simplices in dimension 4

Details On empty lattice simplices in dimension 4 On empty lattice simplices in dimension 4

2009-12-29

arxiv.org/abs/0912.5310v1

Mathematics

Algebraic Geometry

Scientific paper

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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