ALGEBRAIC COBORDISM IN MIXED CHARACTERISTIC
Autor(en): | Spitzweck, Markus | Stichwörter: | algebraic cobordism; Mathematics; Mathematics, Applied; mixed characteristic | Erscheinungsdatum: | 2020 | Herausgeber: | INT PRESS BOSTON, INC | Journal: | HOMOLOGY HOMOTOPY AND APPLICATIONS | Volumen: | 22 | Ausgabe: | 2 | Startseite: | 91 | Seitenende: | 103 | Zusammenfassung: | 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. |
ISSN: | 15320073 | DOI: | 10.4310/HHA.2020.v22.n2.a5 |
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