The Stacks project

20.23.6.1
\begin{equation} \label{cohomology-equation-first-homotopy} h(s)_{i_0\ldots i_ p} = \sum \nolimits _{0 \leq a \leq p} (-1)^ a \text{sign}(\sigma _ a) s_{i_{\sigma (0)} \ldots i_{\sigma (a)} i_{\sigma _ a(a)} \ldots i_{\sigma _ a(p)}} \end{equation}

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