On empty lattice simplices in dimension 4

  • Barile M
  • Bernardi D
  • Borisov A
  • et al.
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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, 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.

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APA

Barile, M., Bernardi, D., Borisov, A., & Kantor, J.-M. (2011). On empty lattice simplices in dimension 4. Proceedings of the American Mathematical Society, 139(12), 4247–4253. https://doi.org/10.1090/s0002-9939-2011-10859-1

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