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arXiv · 2111.03508

On the convergence of the orthogonal spectral sequence

Cesar Galindo·Pablo Pelaez
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Abstract

We show that the orthogonal spectral sequence introduced by the second author is strongly convergent in Voevodsky's triangulated category of motives DM over a field k. In the context of the Morel-Voevodsky motivic stable homotopy category we provide concrete examples where the spectral sequence is not strongly convergent, and give a criterion under which the strong convergence still holds. This criterion holds for Voevodsky's slices, and as a consequence we obtain a spectral sequence which converges strongly to the E1-term of Voevodsky's slice spectral sequence.

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Cesar Galindo, Pablo Pelaez. 2021-11-05. On the convergence of the orthogonal spectral sequence. https://arxiv.org/abs/2111.03508

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