ℤR and rings of Witt vectors W S (R)
Deninger, Christopher1 ; Mellit, Anton2
1 Universität Münster, Germany
2 Universität Wien, Austria
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 93-102.
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Using λ operations, we give some results on the kernel of the natural map from the monoid algebra ℤR of a commutative ring R to the ring of S-Witt vectors of R. As a byproduct we obtain a very natural interpretation of a power series used by Dwork in his proof of the rationality of zeta functions for varieties over finite fields.

Publié le :
DOI : 10.4171/RSMUP/32
Classification : 13, 00
Mots clés : Witt vectors, monoid rings, lambda rings
Deninger, Christopher 1 ; Mellit, Anton 2

1 Universität Münster, Germany
2 Universität Wien, Austria 
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     author = {Deninger, Christopher and Mellit, Anton},
     title = {$\mathbb ZR$ and rings of {Witt} vectors $W_S(R)$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {93--102},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {142},
     year = {2019},
     doi = {10.4171/RSMUP/32},
     mrnumber = {4032806},
     zbl = {1436.13040},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/32/}
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Deninger, Christopher; Mellit, Anton. $\mathbb ZR$ and rings of Witt vectors $W_S(R)$. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 93-102. doi : 10.4171/RSMUP/32. http://www.numdam.org/articles/10.4171/RSMUP/32/

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