论文标题
代数切片光谱序列
Algebraic slice spectral sequences
论文作者
论文摘要
对于某些动机光谱，我们构建了一个光谱序列的平方，该光谱序列与有效的片段序列和动机ADAMS光谱序列。我们表明，可以为结缔组织K理论，动机Morava K理论和截断的动机棕彼得谱构建广场。在这些情况下，我们表明$ \ mathbb {r} $ - 动机有效的频谱序列完全由$ρ$ -Bockstein频谱序列确定。利用Heard的结果，我们还获得了连接实际K理论，真实Morava K理论和截断的真实棕色宠物光谱的山山皮啤酒片片序列的应用。
For certain motivic spectra, we construct a square of spectral sequences relating the effective slice spectral sequence and the motivic Adams spectral sequence. We show the square can be constructed for connective algebraic K-theory, motivic Morava K-theory, and truncated motivic Brown-Peterson spectra. In these cases, we show that the $\mathbb{R}$-motivic effective slice spectral sequence is completely determined by the $ρ$-Bockstein spectral sequence. Using results of Heard, we also obtain applications to the Hill-Hopkins-Ravenel slice spectral sequences for connective Real K-theory, Real Morava K-theory, and truncated Real Brown-Peterson spectra.
