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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 479, Pages 146–159 (Mi znsl6757)  
Witt vectors and the field with one element

A. L. Smirnov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: 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 archimedian point is given. This residue field is compared with the semiring of characteristic 1 in a construction of Connes and Consani.
Key words and phrases: vector, Witt, field with one element, Durov, dynamical system, characteristic 1.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00513
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 30.08.2019
Document Type: Article
UDC: 511.2
Language: Russian
Citation: A. L. Smirnov, “Witt vectors and the field with one element”, Algebra and number theory. Part 2, Zap. Nauchn. Sem. POMI, 479, POMI, St. Petersburg, 2019, 146–159
Citation in format AMSBIB
\Bibitem{Smi19}
\by A.~L.~Smirnov
\paper Witt vectors and the field with one element
\inbook Algebra and number theory. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 479
\pages 146--159
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6757}
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