Algebraic cobordism of number fields
| Autor: | Kylling, Jonas Irgens |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | We compute the motivic homotopy groups of algebraic cobordism over number fields, the motivic homotopy groups of 2-complete algebraic cobordism over the real numbers and rings of $2$-integers and the motivic homotopy groups of mod 2 motivic Morava $K$-theory over fields with low virtual cohomological dimension. As an application we relate the order of the algebraic cobordism groups of rings of 2-integers to special values of Dedekind $\zeta$-functions of totally real abelian number fields. Comment: 23 pages |
| Databáze: | arXiv |
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