2022/03/31 by Riggenbach, Noah
#14G45(Secondary) #19D55(Primary) #55P91 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.2203.17136
In this paper we continue the work of using the recent advances in algebraic K-theory to extend computations done in characteristic p to the mixed characteristic setting using perfectoid rings. We extend the work of Hesselholt-Nikolaus in \citeHesselholtNikolaus on the algebraic K-Theory of cuspidal curves. We consider both cuspidal curves and the p-completion of cuspidal curves. Along the way we also study the K-theory of the p-completed affine line over a perfectoid ring.