Equivalence relations on algebraic cycles
- Equivalence relations on algebraic cycles
In mathematics, equivalence relations of algebraic cycles are used in order to obtain a well-working theory of algebraic cycles, including well-defined intersection products. They also form an integral part of the category of pure motives.
Possible (and useful) adequate equivalence relations include the "rational", "algebraic", "homological" and "numerical equivalence". "Adequate" means that the relations behave well with respect to functoriality, i.e. push-forward and pull-back of cycles.
References
* | year=1972 | chapter=Motives | pages=53–82
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