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.

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 
@article{RSMUP_2019__142__93_0,
     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/}
}
TY  - JOUR
AU  - Deninger, Christopher
AU  - Mellit, Anton
TI  - $\mathbb ZR$ and rings of Witt vectors $W_S(R)$
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2019
SP  - 93
EP  - 102
VL  - 142
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/32/
DO  - 10.4171/RSMUP/32
ID  - RSMUP_2019__142__93_0
ER  - 
%0 Journal Article
%A Deninger, Christopher
%A Mellit, Anton
%T $\mathbb ZR$ and rings of Witt vectors $W_S(R)$
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2019
%P 93-102
%V 142
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/32/
%R 10.4171/RSMUP/32
%F RSMUP_2019__142__93_0
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/

Cité par Sources :