Description |
Let $f:A\to S$ be abelian scheme. We rpove that for any $n$ invertible on $S$, the Leray spectral sequence for $f$ with coefficients $Z/n$ degenerates canonically. This is also true for $l$-adic cohomology and for Betti cohomology with integral coefficients if $S$ is a $C$-scheme. We deduce from this some integrality results for the K\"unneth projectors associated to the motive of $A$. This is a joint work with A. Skorobogatov. |
Organised by | Aravindakshan T |
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