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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…