Chow Group

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External reading guide · Graduate

Chow groups turn algebraic cycles into invariants by identifying cycles related by rational functions on larger subvarieties. Start with the precise rational-equivalence relation, then use the localization sequence to see how an open subset and its complement contribute.

Before opening the references

Scheme · abelian group · quotient module

Where to read

  1. Start here: The Stacks Project — Rational equivalence

    The Stacks Project Authors · Online reference · English · Free full text

    Section 42.19, Definition 42.19.1 and Lemma 42.19.3

    Checked 2026-10-16

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Algebraic Geometry in the library · Preparation and skip guidance

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