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Rings with a local cohomology theorem and applications to cohomology rings of groups

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The singularity category and duality for complete intersection groups

math.AT · 2025-04-03 · unverdicted · novelty 6.0

Establishes that the singularity category of C^*(BG; k) is the bounded derived category of the Ω-Tate spectrum, together with Gorenstein and Tate dualities and a Koszul construction under complete intersection assumptions.

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  • The singularity category and duality for complete intersection groups math.AT · 2025-04-03 · unverdicted · none · ref 16

    Establishes that the singularity category of C^*(BG; k) is the bounded derived category of the Ω-Tate spectrum, together with Gorenstein and Tate dualities and a Koszul construction under complete intersection assumptions.