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Fix two typos in schemes

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aisejohan committed Feb 17, 2017
1 parent 4b29499 commit 48811fe12395a3494edce7052f6603d2a206d44e
Showing with 4 additions and 2 deletions.
  1. +1 −0 CONTRIBUTORS
  2. +3 −2 schemes.tex
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@@ -11,6 +11,7 @@ Konstantin Ardakov
Dima Arinkin
Aravind Asok
Dario Balboni
Adrian Barquero-Sanchez
Giulia Battiston
Hanno Becker
Mark Behrens
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@@ -3316,7 +3316,8 @@ \section{Base change in algebraic geometry}
\begin{enumerate}
\item Let $\mathcal{P}$ be a property of schemes over a base.
We say that $\mathcal{P}$ is {\it preserved under arbitrary base change},
or simply that {\it preserved under base change} if whenever $X/S$
or simply that $\mathcal{P}$ is {\it preserved under base change}
if whenever $X/S$
has $\mathcal{P}$, any base change $X_{S'}/S'$ has $\mathcal{P}$.
\item Let $\mathcal{P}$ be a property of morphisms of schemes over a base.
We say that $\mathcal{P}$ is {\it preserved under arbitrary base change},
@@ -3335,7 +3336,7 @@ \section{Base change in algebraic geometry}
Let $f : X \to S$ be a morphism of schemes.
Let $s \in S$ be a point.
The {\it scheme theoretic fibre $X_s$ of $f$ over $s$},
or simply the {\it fibre of $f$ over $s$}
or simply the {\it fibre of $f$ over $s$},
is the scheme fitting in the following fibre product diagram
$$
\xymatrix{

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