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

2019/01/02 by Vigleik Angeltveit, Angeltveit, Vigleik · 1 citation
Engineering · Mathematics · #19D50 #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1901.00264

openalex publication_date 2019/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the algebraic K-theory of the coordinate ring of a planar cuspidal curve over a regular \mathbbF_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.

Cited by

• Algebraic K-theory of planar cuspidal curves

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