Number theory/Algebra
The norm map of Witt vectors
[Norme des vecteurs de Witt]
Comptes Rendus. Mathématique, Tome 353 (2015) no. 5, pp. 381-386.

On définit une application multiplicative sur l'anneau des vecteurs de Witt.

We discuss a multiplicative version of the Verschiebung map of Witt vectors that we call the norm.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.02.014
Angeltveit, Vigleik 1

1 Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia
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Angeltveit, Vigleik. The norm map of Witt vectors. Comptes Rendus. Mathématique, Tome 353 (2015) no. 5, pp. 381-386. doi : 10.1016/j.crma.2015.02.014. http://archive.numdam.org/articles/10.1016/j.crma.2015.02.014/

[1] Angeltveit, Vigleik Witt vectors and truncation posets (Preprint) | arXiv

[2] Brun, Morten Witt vectors and Tambara functors, Adv. Math., Volume 193 (2005) no. 2, pp. 233-256

[3] Cartier, Pierre Groupes formels associés aux anneaux de Witt généralisés, C. R. Acad. Sci. Paris, Ser. A–B, Volume 265 (1967), p. A49-A52

[4] Dress, Andreas W.M.; Siebeneicher, Christian The Burnside ring of profinite groups and the Witt vector construction, Adv. Math., Volume 70 (1988) no. 1, pp. 87-132

[5] Greenlees, J.P.C.; May, J.P. Localization and completion theorems for MU-module spectra, Ann. Math., Volume 146 (1997) no. 3, pp. 509-544

[6] Hesselholt, Lars The big de Rham–Witt complex, Acta Math., Volume 214 (2015), pp. 135-207

[7] Hesselholt, Lars; Madsen, Ib On the K-theory of finite algebras over Witt vectors of perfect fields, Topology, Volume 36 (1997) no. 1, pp. 29-101

[8] Hesselholt, Lars; Madsen, Ib On the de Rham–Witt complex in mixed characteristic, Ann. Sci. École Norm. Sup. (4), Volume 37 (2004) no. 1, pp. 1-43

[9] Illusie, Luc Complexe de de Rham–Witt et cohomologie cristalline, Ann. Sci. École Norm. Sup. (4), Volume 12 (1979) no. 4, pp. 501-661

[10] Witt, E. Zyklische Körper und Algebren der Charakteristik p vom Grad pn. Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper der Charakteristik p, J. Reine Angew. Math., Volume 176 (1937), pp. 126-140

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