Multiplicative Properties of the Slice Filtration
| dc.creator | Pelaez, Pablo | |
| dc.date | 2008-06-10 | |
| dc.date | 2008-12-07 | |
| dc.date.accessioned | 2026-07-07T12:09:34Z | |
| dc.date.available | 2026-07-07T12:09:34Z | |
| dc.description | We show that the slice filtration introduced by Voevodsky is compatible in a suitable sense with the symmetric monoidal structure in the category of motivic symmetric T-spectra constructed by Jardine. It follows from this compatibility that the zero slice of the sphere spectrum s_{0}(1) is a ring spectrum and that for every symmetric T-spectrum X, and every integer n; the n-slice s_{n}(X) is a module over s_{0}(1). In particular, if the base scheme is a field of characteristic zero, we have that all the slices s_{n}(X) are big motives in the sense of Voevodsky. We also get as a corollary that the smash product of symmetric T-spectra induces pairings in the motivic Atiyah-Hirzebruch spectral sequence. | |
| dc.description | bibliography corrected, proof of former lemma 3.5.60 corrected | |
| dc.identifier | https://arxiv.org/abs/0806.1704 | |
| dc.identifier | http://arxiv.org/abs/0806.1704 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209670 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.title | Multiplicative Properties of the Slice Filtration | |
| dc.type | text |