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Sheaf / de Rham cohomology of a stack with values in a complex of abelian sheaves

I am reading Differentiable Stacks and Gerbes to understand about (hyper) cohomology groups of a stack $\mathcal{X}$ with values in a complex $\mathcal{M}$ of abelian sheaves over $\mathcal{X}$. ...
Praphulla Koushik's user avatar