Intersection Product of Algebraic Cycles

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External reading guide · Graduate

Intersection products combine cycles with multiplicities that retain local algebraic information. Read the construction for properly intersecting cycles on a nonsingular variety before studying compatibility with rational equivalence in the projective case.

Before opening the references

Scheme · Noetherian Commutative Ring · Tensor Product of Modules · Chain Complex of Modules

Where to read

  1. Start here: The Stacks Project — Intersection product using Tor formula

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

    Section 43.17, opening definition and Lemma 43.17.1

    Checked 2026-10-16

  2. Reference: The Stacks Project — Intersection products and rational equivalence

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

    Section 43.25, Theorem 43.25.2

    Checked 2026-10-16

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