$K$-Theory of Cuspidal Curves Over a Perfectoid Base And Formal Analogues
K-Theory and Homology
2022-04-01 v1 Algebraic Geometry
Algebraic Topology
Abstract
In this paper we continue the work of using the recent advances in algebraic -theory to extend computations done in characteristic to the mixed characteristic setting using perfectoid rings. We extend the work of Hesselholt-Nikolaus in \cite{Hesselholt_Nikolaus} on the algebraic -Theory of cuspidal curves. We consider both cuspidal curves and the -completion of cuspidal curves. Along the way we also study the -theory of the -completed affine line over a perfectoid ring.
Keywords
Cite
@article{arxiv.2203.17136,
title = {$K$-Theory of Cuspidal Curves Over a Perfectoid Base And Formal Analogues},
author = {Noah Riggenbach},
journal= {arXiv preprint arXiv:2203.17136},
year = {2022}
}
Comments
27 pages. Comments welcome