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math.AG2002
Toric varieties with huge Grothendieck group
Joseph Gubeladze
In each dimension n>2 there are many projective simplicial toric varieties whose Grothendieck groups of vector bundles are at least as big as the ground field. In particular, the c…
math.AG2000
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…