2002/03/11 by Joseph Gubeladze, Gubeladze, Joseph
Mathematics · #14C35 #14M25 #19A99 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:14C35 #msc:14M25 #msc:19A99
paper · pdf · doi:10.48550/arxiv.math/0203095
Final version, to appear in Advances in Mathematics
arxiv created 2003/07/04 · arxiv updated 2009/11/30
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 conjecture that the Grothendieck groups of locally trivial sheaves and coherent sheaves on such varieties are rationally isomorphic fails badly.