The Theory of Witt Vectors
Joseph Rabinoff
TL;DR
This paper introduces the theory of Witt vectors, detailing their construction, algebraic structures, and connections to p-rings and exponential functions, providing foundational insights into their algebraic properties.
Contribution
It offers a comprehensive introduction to Witt vectors, including their construction, endomorphisms, and algebraic relations, which are essential for understanding their role in number theory and algebra.
Findings
Construction of Witt rings and their algebraic structures
Description of Frobenius and Verschiebung endomorphisms
Relation to strict p-rings and Artin-Hasse exponential
Abstract
This is an introduction to the theory of Witt vectors. It includes a construction of the Witt rings, the Frobenius and Verschiebung endomorphisms, the canonical map from W to W^2 (its lambda-algebra structure), the relation to strict p-rings, and an account of the Artin-Hasse exponential.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology