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 |
| Summary: | 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. |
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| ISBN: | 14722747 (ISSN) |
| DOI: | 10.2140/agt.2022.22.373 |