Relative cycle
In algebraic geometry, a relative cycle is a type of algebraic cycle on a scheme. In particular, let be a scheme of finite type over a Noetherian scheme, so that. Then a relative cycle is a cycle on which lies over the generic points of, such that the cycle has a well-defined specialization to any fiber of the projection.
The notion was introduced by Andrei Suslin and Vladimir Voevodsky in 2000; the authors were motivated to overcome some of the deficiencies of sheaves with transfers.
