Abstract
Let , , denote the family of motivic truncated Brown–Peterson spectra over . We employ a “local-to-global” philosophy in order to compute the bigraded homotopy groups of . Along the way, we produce a computation of the homotopy groups of over , prove a motivic Hasse principle for the spectra , and reprove several classical and recent theorems about the –theory of particular fields in a streamlined fashion. We also compute the bigraded homotopy groups of the 2–complete algebraic cobordism spectrum over .
Citation
Kyle M Ormsby. Paul Østvær. "Motivic Brown–Peterson invariants of the rationals." Geom. Topol. 17 (3) 1671 - 1706, 2013. https://doi.org/10.2140/gt.2013.17.1671
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