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arxiv: 1705.02664 · v2 · pith:ZCJJ7KGQnew · submitted 2017-05-07 · 🧮 math.AT

Anderson and Gorenstein duality

J. P. C. Greenlees , V. Stojanoska This is my paper
classification 🧮 math.AT
keywords dualityandersonauthorgorensteinstatementsstudiedcasescohomology
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The paper relates the Gorenstein duality statements studied by the first author to the Anderson duality statements studied by the second author, and explains how to use local cohomology and invariant theory to understand the numerology of shifts in simple cases.

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  1. The singularity category and duality for complete intersection groups

    math.AT 2025-04 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.