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Fixed minor typos in chow.tex
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Capitalized Greek/Roman, "vectorbundle" to "vector bundle" and
"succesive" to "successive".
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Robert Cardona committed Feb 22, 2015
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Showing 1 changed file with 3 additions and 3 deletions.
6 changes: 3 additions & 3 deletions chow.tex
Expand Up @@ -1720,7 +1720,7 @@ \section{Periodic complexes}
\medskip\noindent
To shorten the formulas below we are going to write $\alpha x$ instead
of $\alpha(x)$ in the following. No confusion should result since
all maps are indicated by greek letters and elements by roman letters.
all maps are indicated by Greek letters and elements by Roman letters.
We are going to choose
\begin{enumerate}
\item an admissible sequence $z_1, \ldots, z_k \in K$
Expand Down Expand Up @@ -6576,7 +6576,7 @@ \section{Affine bundles}
\begin{remark}
\label{remark-when-isomorphism}
We will see later (Lemma \ref{lemma-vectorbundle})
that if $X$ is a vectorbundle over $Y$ then
that if $X$ is a vector bundle over $Y$ then
the pullback map $A_k(Y) \to A_{k + r}(X)$ is an isomorphism.
Is this true in general?
\end{remark}
Expand Down Expand Up @@ -7940,7 +7940,7 @@ \section{Degrees of zero cycles}
Assume $X$ is a proper curve over $k$.
By Divisors, Lemma \ref{divisors-lemma-filter-after-modification}
there exists a modification $f : X' \to X$ such that $f^*\mathcal{E}$
has a filtration whose succesive quotients are invertible
has a filtration whose successive quotients are invertible
$\mathcal{O}_{X'}$-modules. Since $f_*[X']_1 = [X]_1$ we conclude
from Lemma \ref{lemma-pushforward-cap-cj} that
$$
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