Sheared Witt Vectors

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Trevor McFedries
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Abstract page for arXiv paper 2607.01178: Sheared Witt Vectors

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# Sheared Witt Vectors Source: https://doi.org/10.48550/arxiv.2607.01178 Published: 2026-07-02T01:04:24.000Z Summary: Abstract page for arXiv paper 2607.01178: Sheared Witt Vectors Skip to main content ![Image 1](https://arxiv.org/static/base/1.0.1/images/icons/smileybones-small.svg)arXiv is now an independent nonprofit!Learn more× ![Image 2: archive](https://arxiv.org/static/base/1.0.1/images/arxiv-logo-primary-light.svg)Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search # Mathematics > Algebraic Geometry **arXiv:2607.01178** (math) [Submitted on 1 Jul 2026] # Title:Sheared Witt Vectors Authors:Bhargav Bhatt, Akhil Mathew, Vadim Vologodsky View a PDF of the paper titled Sheared Witt Vectors, by Bhargav Bhatt and 2 other authors View PDF HTML (experimental) > 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 Rwhose reduction is a perfect F p-algebra. Comments:75 pages Subjects:Algebraic Geometry (math.AG); K-Theory and Homology (math.KT); Number Theory (math.NT) MSC classes:14F30 Cite as:arXiv:2607.01178 [math.AG] (or arXiv:2607.01178v1 [math.AG] for this version) https://doi.org/10.48550/arXiv.2607.01178 Focus to learn more arXiv-issued DOI via DataCite (pending registration) ## Submission history From: Vadim Vologodsky [view email] **[v1]** Wed, 1 Jul 2026 17:09:33 UTC (84 KB) Full-text links: ## Access Paper: View a PDF of the paper titled Sheared Witt Vectors, by Bhargav Bhatt and 2 other authors * View PDF * HTML (experimental) * TeX Source ![Image 3: license icon](https://arxiv.org/icons/licenses/by-4.0.png)view license ### Current browse context: math.AG <prev | next> new | recent | 2026-07 Change to browse by: math math.KT math.NT ### References & Citations * NASA ADS * Google Scholar * Semantic Scholar export BibTeX citation Loading... ## BibTeX formatted citation × Data provided by: ### Bookmark ![Image 4: BibSonomy](https://arxiv.org/static/browse/0.3.4/images/icons/social/bibsonomy.png)![Image 5: Reddit](https://arxiv.org/static/browse/0.3.4/images/icons/social/reddit.png) Bibliographic Tools # Bibliographic and Citation Tools - [x] Bibliographic Explorer Toggle Bibliographic Explorer _(What is the Explorer?)_ - [x] Connected Papers Toggle Connected Papers _(What is Connected Papers?)_ - [x] Litmaps Toggle Litmaps _(What is Litmaps?)_ - [x] scite.ai Toggle scite Smart Citations _(What are Smart Citations?)_ Code, Data, Media # Code, Data and Media Associated with this Article - [x] alphaXiv Toggle alphaXiv _(What is alphaXiv?)_ - [x] Links to Code Toggle CatalyzeX Code Finder for Papers _(What is CatalyzeX?)_ - [x] DagsHub Toggle DagsHub _(What is DagsHub?)_ - [x] GotitPub Toggle Gotit.pub _(What is GotitPub?)_ - [x] Huggingface Toggle Hugging Face _(What is Huggingface?)_ - [x] ScienceCast Toggle ScienceCast _(What is ScienceCast?)_ Demos # Demos - [x] Replicate Toggle Replicate _(What is Replicate?)_ - [x] Spaces Toggle Hugging Face Spaces _(What is Spaces?)_ - [x] Spaces Toggle TXYZ.AI _(What is TXYZ.AI?)_ Related Papers # Recommenders and Search Tools - [x] Link to Influence Flower Influence Flower _(What are Influence Flowers?)_ - [x] Core recommender toggle CORE Recommender _(What is CORE?)_ * Author * Venue * Institution * Topic About arXivLabs # arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? **Learn more about arXivLabs**. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?) We gratefully acknowledge support from our **major funders**, **member institutions**, , and all contributors. About·Help·Contact·Subscribe·Copyright·Privacy·Accessibility·Operational Status (opens in new tab) Major funding support from ![Image 6: Simons Foundation](https://arxiv.org/static/base/1.0.1/images/funders/simons-foundation.png)![Image 7: Schmidt Sciences](https://arxiv.org/static/base/1.0.1/images/funders/schmidt-sciences.png)

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