Geodesic
Birational motivic homotopy theories and the slice filtration
Documenta mathematica, Tome 18 (2013), pp. 51-70

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We show that there is an equivalence of categories between the orthogonal components for the slice filtration and the birational motivic stable homotopy categories which are constructed in this paper. Relying on this equivalence, we are able to describe the slices for projective spaces (including P∞), Thom spaces and blow ups.
DOI : 10.4171/dm/391
Classification : 14F42
Mots-clés : motivic homotopy theory, birational invariants, motivic spectral sequence, slice filtration 
Pablo Pelaez. Birational motivic homotopy theories and the slice filtration. Documenta mathematica, Tome 18 (2013), pp. 51-70. doi: 10.4171/dm/391
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     author = {Pablo Pelaez},
     title = {Birational motivic homotopy theories and the slice filtration},
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     doi = {10.4171/dm/391},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/391/}
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