Sheared Witt Vectors

Bhargav Bhatt; Akhil Mathew; Vadim Vologodsky

Sheared Witt Vectors

Algebraic Geometry 2026-07-01 v1 K-Theory and Homology Number Theory

Authors: Bhargav Bhatt , Akhil Mathew , Vadim Vologodsky

Abstract

V. Drinfeld and E. Lau introduced a ``decompletion'' of the ring of $p$ -typical Witt vectors, following earlier work of T. Zink. The goal of this paper is to offer an exposition of this construction, which we call the sheared Witt vectors, on the category of rings $R$ whose reduction is a perfect $\mathbb{F}_p$ -algebra.

Cite

@article{arxiv.2607.01178,
  title  = {Sheared Witt Vectors},
  author = {Bhargav Bhatt and Akhil Mathew and Vadim Vologodsky},
  journal= {arXiv preprint arXiv:2607.01178},
  year   = {2026}
}

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75 pages