A Simple Construction of the Field of Witt Vectors

We present a short, hopefully pedagogical construction of the field and ring of Witt vectors. It uses a natural binary operation on polynomials of one variable, which we call convolution.

Authors

V. V. Fock (ORCID: https://orcid.org/0009-0003-7161-2776)

Institutions

Institut de Recherche Mathématique Avancée (FR)

Publication Details

Journal: Arnold Mathematical Journal
Published: 2025-03-07
DOI: https://doi.org/10.56994/armj.011.001.001
Primary Topic: Advanced Differential Equations and Dynamical Systems
Type: article
Field-Weighted Citation Impact: 0.00

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article

A Simple Construction of the Field of Witt Vectors

V. V. Fock

Mar 7, 2025

Arnold Mathematical Journal

Advanced Differential Equations and Dynamical Systems

article

A Simple Construction of the Field of Witt Vectors

V. V. Fock

March 7, 2025article en

Abstract

We present a short, hopefully pedagogical construction of the field and ring of Witt vectors. It uses a natural binary operation on polynomials of one variable, which we call convolution.

Arnold Mathematical JournalVol. 11(1)

Institut de Recherche Mathématique Avancée (FR)

Openalex Percentile: Top 86%

Advanced Differential Equations and Dynamical Systems

DOI Source OpenAlex

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A Simple Construction of the Field of Witt Vectors — V. V. Fock · Arnold Mathematical Journal (2025) | TGRS Research Map | TGRS