Inertia Stack

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The inertia stack organizes objects equipped with an automorphism, making stabilizer information visible across a family. Read the construction of relative and absolute inertia, then the criterion describing when inertia contributes no extra objects up to equivalence.

Before opening the references

groupoid · Natural Transformation · Sheaf · Scheme

Where to read

  1. Start here: The Stacks Project — The inertia stack

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

    Section 8.7, opening construction and Lemmas 8.7.1–8.7.2

    Checked 2026-10-16

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