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Picard groups and the K-theory of curves with cuspidal singularities (1901.00264v1)
Published 2 Jan 2019 in math.AT and math.KT
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 $C{pn}$-spectra.
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