Geodesic
On the convergence of the orthogonal spectral sequence
Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 389-401.

Voir la notice de l'article provenant de la source International Press of Boston

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 $\mathbb{A}^1$‑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 $E_1$‑term of Voevodsky’s slice spectral sequence. 
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     author = {Cesar Galindo and Pablo Pelaez},
     title = {On the convergence of the orthogonal spectral sequence},
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     pages = {389--401},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a20/}
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Cesar Galindo; Pablo Pelaez. On the convergence of the orthogonal spectral sequence. Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 389-401. doi : 10.4310/HHA.2022.v24.n2.a20. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a20/

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