p-adic Geometry and Homotopy Theory - Département de ...

Applications• structure of conjugate spectral sequence (I-Raynaud)(X/k proper and smooth)E ij2 = proj.lim Hi (X, H j (X/W n )) ⇒ H i+j (X/W )- degenerates at E 2 mod p-torsion- K 0 ⊗ proj.lim H i (X, H j (X/W n ))= part of slope ⊂]j − 1, j] in K 0 ⊗ H i+j (X/W )44