Geodesic
Algebraic cobordism in mixed characteristic
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 91-103.

Voir la notice de l'article provenant de la source International Press of Boston

We compute the geometric part of algebraic cobordism over Dedekind domains of mixed characteristic after inverting the positive residue characteristics and prove cases of a Conjecture of Voevodsky relating this geometric part to the Lazard ring for regular local bases. The method is by analyzing the slice tower of algebraic cobordism, relying on the Hopkins–Morel isomorphism from the quotient of the algebraic cobordism spectrum by the generators of the Lazard ring to the motivic Eilenberg–MacLane spectrum, again after inverting the positive residue characteristics.
DOI : 10.4310/HHA.2020.v22.n2.a5
Classification : 14F42, 57R90
Keywords: algebraic cobordism, mixed characteristic 
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     author = {Markus Spitzweck},
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     pages = {91--103},
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Markus Spitzweck. Algebraic cobordism in mixed characteristic. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 91-103. doi : 10.4310/HHA.2020.v22.n2.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a5/

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