Adeles on n-dimensional schemes and categories C_n
arXiv:math/0509189
Abstract
We consider categories C_n, which are very close to the iterated version of Ind Pro limits introduced by A.Bejlinson in his article "How to glue perverse sheaves". We prove that the adelic space on n-dimensional noetherian scheme is an object of C_n.
10 pages, subsection 2.2.2 changed, references added