Bökstedt periodicity and quotients of DVRs

Compositio mathematica

article

Achim Krause¹  Thomas Nikolaus¹ 

[1] Mathematisches Institut, Universität Münster

关键词: Topological Hochschild homology;    Bökstedt periodicity;    discrete valuation rings;    13D03;    19D55;    13F35;   

DOI  :  10.1112/S0010437X22007655

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we compute the topological Hochschild homology of quotients of discrete valuation rings (DVRs). Along the way we give a short argument for Bökstedt periodicity and generalizations over various other bases. Our strategy also gives a very efficient way to redo the computations of $\operatorname {THH}$ (respectively, logarithmic $\operatorname {THH}$ ) of complete DVRs originally due to Lindenstrauss and Madsen (respectively, Hesselholt and Madsen).

【 授权许可】

CC BY