Loading web-font TeX/Caligraphic/Regular

The Stacks project

Lemma 25.6.5. Let \mathcal{C} be a site with equalizers and fibre products. Let K be a hypercovering. Let \mathcal{F} be an abelian sheaf. There is a spectral sequence (E_ r, d_ r)_{r \geq 0} with

E_2^{p, q} = \check{H}^ p(K, \underline{H}^ q(\mathcal{F}))

converging to the global cohomology groups H^{p + q}(\mathcal{F}).

Proof. This is a special case of Lemma 25.6.4. \square


Comments (0)


Your email address will not be published. Required fields are marked.

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.