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arXiv · 1404.2542

Algebraic Cobordism in mixed characteristic

Markus Spitzweck
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Abstract

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.

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Markus Spitzweck. 2014-04-09. Algebraic Cobordism in mixed characteristic. https://arxiv.org/abs/1404.2542

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