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-rw-r--r--bezout.tex3
1 files changed, 2 insertions, 1 deletions
diff --git a/bezout.tex b/bezout.tex
index f5ebad7..fd1a91f 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -113,7 +113,8 @@ Critical points are given by the set of equations:
\begin{equation}
\frac{c_p}{(p-1)!}\sum_{ i, i_2\cdots i_p}^NJ_{i, i_2\cdots i_p}z_{i_2}\cdots z_{i_p} = \epsilon z_i
\end{equation}
-which for given $\epsilon$ are a set pf $N$ equations (plus the constraint) of degree $p- $
+which for given $\epsilon$ are a set pf $N$ equations (plus the constraint) of degree $p-1$.
+$
Since $H$ is holomorphic, a point is a critical point of its real part if and
only if it is also a critical point of its imaginary part. The number of
critical points of $H$ is therefore the number of critical points of