摘要

Suppose X is a projective toric scheme defined over a ring R and equipped with an ample line bundle L. We prove that its K-theory has a direct summand of the form K( R)((k+ 1)) where k %26gt;= 0 is minimal such that L circle times(-k-1) is not acyclic. Using a combinatorial description of quasi-coherent sheaves we interpret and prove this result for a ring R which is either commutative, or else left NOETHERian.

  • 出版日期2012