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aisejohan committed Jan 18, 2023
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Expand Up @@ -490,6 +490,7 @@ John Watterlond
Rachel Webb
Torsten Wedhorn
Dario Weissmann
Jakob Werner
Ian Whitehead
Jonathan Wise
Junho Won
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4 changes: 2 additions & 2 deletions cohomology.tex
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Expand Up @@ -1525,8 +1525,8 @@ \section{{\v C}ech cohomology and cohomology}
of the complex $\mathcal{I}^\bullet$. In other words, the
sections of $R^pi(\mathcal{F})$ over an open $U$ are given by
$$
\frac{\Ker(\mathcal{I}^n(U) \to \mathcal{I}^{n + 1}(U))}
{\Im(\mathcal{I}^{n - 1}(U) \to \mathcal{I}^n(U))}.
\frac{\Ker(\mathcal{I}^p(U) \to \mathcal{I}^{p + 1}(U))}
{\Im(\mathcal{I}^{p - 1}(U) \to \mathcal{I}^p(U))}.
$$
which is the definition of $H^p(U, \mathcal{F})$.
\end{proof}
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