Abstract
Following Hu and Kriz, we study the C2-spectra BPℝ⟨n⟩hni and Eℝ(n) that refine the usual truncated Brown-Peterson and the Johnson-Wilson spectra. In particular, we show that they satisfy Gorenstein duality with a representation grading shift and identify their Anderson duals. We also compute the associated local cohomology spectral sequence in
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