, Let f : Cent X ? R be a real function. The following properties are equivalent: (1) f ? K 0 (Cent X). (2) There exists a resolution of singularities ? : Y ? X
, ) We have ?(Y ) = Cent X by Proposition 1.5. (2) The equality f ? ? ? O(Y ) in the statement of the previous proposition means that there exists g ? O(Y ) such that f ? ? = g on Y, Let ? : Y ? X be a resolution of singularities
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, IRMAR (UMR 6625)