1. Chapter 2: Relative Cycles and Chow Sheaves.
- Author
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Suslin, Andrei and Voevodsky, Vladimir
- Subjects
- *
SHEAF theory , *CYCLES , *MORPHISMS (Mathematics) , *NOETHERIAN rings , *PATHOLOGY - Abstract
The article presents a discussion about the theory of sheaves of relative cycles. The paper is organized in several sections including those with some basic properties of equidimensional morphisms and equidimensional closed subschemes. They discussed the groups Cycl(X/S,r) of relative cycles on a scheme X of finite over a Noetherian scheme S and they said that such relative cycles demonstrate all kinds of pathological behavior. According to them, the main technical tool in this paper is the platification theorem.
- Published
- 2000