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arXiv · 1901.00264

Picard groups and the K-theory of curves with cuspidal singularities

Vigleik Angeltveit
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Abstract

We calculate the algebraic $K$-theory of the coordinate ring of a planar cuspidal curve over a regular $\mathbb{F}_p$-algebra, thereby verifying a conjecture due to Hesselholt. In the course of the proof we compute the Picard group of the homotopy category of $p$-complete genuine $C_{p^n}$-spectra.

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Vigleik Angeltveit. 2019-01-02. Picard groups and the K-theory of curves with cuspidal singularities. https://arxiv.org/abs/1901.00264

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