Math 2.0

Algebraic geometry Cycles and intersection theory Concept

Rational equivalence

Summary

Rational equivalence is the finest of the usual equivalence relations on algebraic cycles. Two cycles are rationally equivalent when their difference is a sum of divisors of rational functions on subvarieties. The quotient of the group of cycles by rational equivalence is the Chow group.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Chow_group
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Changed2 November 2026

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