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arxiv: 1702.01493 · v1 · pith:R6HPDMZTnew · submitted 2017-02-06 · 🧮 math.AT

The stable Picard group of mathcal{A}(2)

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keywords mathcalstablegrouppicardcategorydescentelementsexotic
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Using a form of descent in the stable category of $\mathcal{A}(2)$-modules, we show that there are no exotic elements in the stable Picard group of $\mathcal{A}(2)$, \textit{i.e.} that the stable Picard group of $\mathcal{A}(2)$ is free on $2$ generators.

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