Witt Vectors and the Field with One Element

Witt vectors for Durov’s generalized rings are constructed. The ring of Witt vectors for the field with one element is calculated. A criterion for the projectivity of modules over the residue field at the Archimedean point is provided. This residue field is compared with the semiring of characterist...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-10, Vol.249 (1), p.95-103
Main Author: Smirnov, A. L.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Residues
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Summary:Witt vectors for Durov’s generalized rings are constructed. The ring of Witt vectors for the field with one element is calculated. A criterion for the projectivity of modules over the residue field at the Archimedean point is provided. This residue field is compared with the semiring of characteristic 1 in a construction of Connes and Consani.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04923-w