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 -