89 citations · 338 across the 44 of their papers we have counts for
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math.AG2004★ 18 cited
Volume and lattice points of reflexive simplices
Benjamin Nill
We prove sharp upper bounds on the volume and the number of lattice points on edges of higher-dimensional reflexive simplices. These convex-geometric results are derived from new n…
math.AG2004★ 46 cited
Complete toric varieties with reductive automorphism group
Benjamin Nill
We give equivalent and sufficient criteria for the automorphism group of a complete toric variety, respectively a Gorenstein toric Fano variety, to be reductive. In particular we s…
math.AG2004★ 89 cited
Gorenstein toric Fano varieties
Benjamin Nill
We investigate Gorenstein toric Fano varieties by combinatorial methods using the notion of a reflexive polytope which appeared in connection to mirror symmetry. The paper contains…