A stupid question: which statements in section 5 of BBD will fail if we replace $\overline{\mathbb{Q}_l}$-sheaves by just $\mathbb{Q}_l$-ones? I am especially interested in Proposition 5.1.15.
Which statements in section 5 of BBD will fail if we consider $\mathbb{Q}_l$-adic sheaves there?
Mikhail Bondarko
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