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Adeles on n-dimensional schemes and categories C_n

Research paper by D. V. Osipov

Indexed on: 14 Jan '07Published on: 14 Jan '07Published in: Mathematics - Algebraic Geometry



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.