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Perfect complexes and completion

math.AC · 2024-11-22 · accept · novelty 7.0

Perfect complexes over an I-adic completion are equivalent to dualizable I-complete complexes precisely when the ring's Koszul homology is unchanged by completion.

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  • Perfect complexes and completion math.AC · 2024-11-22 · accept · none · ref 4

    Perfect complexes over an I-adic completion are equivalent to dualizable I-complete complexes precisely when the ring's Koszul homology is unchanged by completion.