Holmstrom Hypercohomology spectrum

Thomason: Algebraic K-theory and etale cohomology

Geisser in K-theory handbook, page 213.

Briefly (go back to Geisser later): Start with a presheaf of spectra $F$ on some site of a scheme $X$. Then the hypercohomology spectrum of $F$ is a homotopy limit of a certain simplicial spectrum. It has an associated spectral sequence.

nLab page on Hypercohomology spectrum