# B\"okstedt periodicity and quotients of DVRs

## TL;DR

This paper computes the topological Hochschild homology of quotients of DVRs, offers a concise proof of B"okstedt periodicity, and provides an efficient method to revisit previous THH computations for complete DVRs.

## Contribution

It introduces a streamlined approach to compute THH of DVR quotients and generalizes B"okstedt periodicity over various bases.

## Key findings

- Computed THH of DVR quotients
- Provided a short proof of B"okstedt periodicity
- Streamlined previous THH computations for complete DVRs

## Abstract

In this note we compute the topological Hochschild homology of quotients of DVRs. Along the way we give a short argument for B\"okstedt periodicity and generalizations over various other bases. Our strategy also gives a very efficient way to redo the computations of THH (resp. logarithmic THH) of complete DVRs originally due to Lindenstrauss-Madsen (resp. Hesselholt-Madsen).