On the algebraic K-theory of double points
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...
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| Format: | Article |
| Language: | English |
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Mathematical Sciences Publishers
2022
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| Online Access: | View Fulltext in Publisher |
| LEADER | 00974nam a2200133Ia 4500 | ||
|---|---|---|---|
| 001 | 10.2140-agt.2022.22.373 | ||
| 008 | 220706s2022 CNT 000 0 und d | ||
| 020 | |a 14722747 (ISSN) | ||
| 245 | 1 | 0 | |a On the algebraic K-theory of double points |
| 260 | 0 | |b Mathematical Sciences Publishers |c 2022 | |
| 856 | |z View Fulltext in Publisher |u https://doi.org/10.2140/agt.2022.22.373 | ||
| 520 | 3 | |a 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. © 2022, Mathematical Sciences Publishers. All rights reserved. | |
| 700 | 1 | |a Riggenbach, N. |e author | |
| 773 | |t Algebraic and Geometric Topology | ||