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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