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math.AG2011★ 14 cited
The quest for counterexamples in toric geometry
Winfried Bruns
We discuss an experimental approach to open problems in toric geometry: are smooth projective toric varieties (i) projectively normal and (ii) defined by degree 2 equations? We dis…
math.AG2000★ 5 cited
Polytopal linear algebra
Winfried Bruns, Joseph Gubeladze
We investigate similarities between the category of vector spaces and that of polytopal algebras, containing the former as a full subcategory. In Section 2 we introduce the notion…