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committedNov 12, 2020
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Diff for: ‎pione.tex

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@@ -1845,7 +1845,7 @@ \section{Local connectedness}
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internal hom (Lemma \ref{lemma-internal-hom-finite-etale})
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it suffices to prove the following: Given $Y$ finite \'etale over $X$
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any morphism $s : U \to Y$ over $X$ extends to a morphism $t : X \to Y$
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over $Y$. Let $A^{sh}$ be the strict henselization of $A$ and denote
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over $X$. Let $A^{sh}$ be the strict henselization of $A$ and denote
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$X^{sh} = \Spec(A^{sh})$, $U^{sh} = U \times_X X^{sh}$,
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$Y^{sh} = Y \times_X X^{sh}$. By the first paragraph and our assumption
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on $A$, we can extend the base change $s^{sh} : U^{sh} \to Y^{sh}$ of $s$ to

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