Lemma 85.8.5. In Situation 85.3.3. Let $K$ be an object of $D(\mathcal{C}_{total})$.

If $H^{-p}(\mathcal{C}_ p, K_ p) = 0$ for all $p \geq 0$, then $H^0(\mathcal{C}_{total}, K) = 0$.

If $R\Gamma (\mathcal{C}_ p, K_ p) = 0$ for all $p \geq 0$, then $R\Gamma (\mathcal{C}_{total}, K) = 0$.

## Comments (0)