TY - JOUR
T1 - On the algebraic K-theory of double points
AU - Riggenbach, Noah
N1 - Funding Information:
While working on this paper I was supported by a Hazel King Thompson Scholarship from the Mathematics Department at Indiana University.
Publisher Copyright:
© 2022, Mathematical Sciences Publishers. All rights reserved.
PY - 2022
Y1 - 2022
N2 - We use trace methods to study the algebraic K-theory of rings of the form R[x1,…, xd ]/(%i,…, xd )2. We compute the relative p-adic K groups for R a perfectoid ring. In particular, we get the integral K groups when R is a finite field, and the integral relative K groups Ks.R^,…, xd]/(x1,…, xd)2, (x1,…, xd)) when R is a perfect Fp-algebra. We conclude with some other notable computations, including some rings which are not quite of the above form.
AB - We use trace methods to study the algebraic K-theory of rings of the form R[x1,…, xd ]/(%i,…, xd )2. We compute the relative p-adic K groups for R a perfectoid ring. In particular, we get the integral K groups when R is a finite field, and the integral relative K groups Ks.R^,…, xd]/(x1,…, xd)2, (x1,…, xd)) when R is a perfect Fp-algebra. We conclude with some other notable computations, including some rings which are not quite of the above form.
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U2 - 10.2140/agt.2022.22.373
DO - 10.2140/agt.2022.22.373
M3 - Article
AN - SCOPUS:85132894527
SN - 1472-2747
VL - 22
SP - 373
EP - 403
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
IS - 1
ER -