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arxiv: 0912.5310 · v1 · submitted 2009-12-29 · 🧮 math.AG · math.CO

On empty lattice simplices in dimension 4

classification 🧮 math.AG math.CO
keywords simplicesdimensionemptylatticealmostboberboundedclassification
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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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