English

On empty lattice simplices in dimension 4

Algebraic Geometry 2009-12-31 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.0912.5310,
  title  = {On empty lattice simplices in dimension 4},
  author = {Margherita Barile and Dominique Bernardi and Alexander Borisov and Jean-Michel Kantor},
  journal= {arXiv preprint arXiv:0912.5310},
  year   = {2009}
}
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