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math.AT2012★ 28 cited
On the homotopy of Q(3) and Q(5) at the prime 2
Mark Behrens, Kyle Ormsby
We study modular approximations Q(l), l = 3,5, of the K(2)-local sphere at the prime 2 that arise from l-power degree isogenies of elliptic curves. We develop Hopf algebroid level…
math.AT2012★ 18 cited
Motivic Brown-Peterson invariants of the rationals
Kyle M. Ormsby, Paul Arne Østvær
Fix the base field Q of rational numbers and let BP<n> denote the family of motivic truncated Brown-Peterson spectra over Q. We employ a "local-to-global" philosophy in order to co…