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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-10 13:52:55 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-10 13:52:55 +0100
commitb4788eb5189d7b0dbefd345f333c34689ee26920 (patch)
tree15498a14085d94373a378962417effd9f7287699
parent9190995c3182377c184140becbea4f52768717e6 (diff)
parent98b8725762f2700499005ee9b5d6a0064e80399a (diff)
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Merge branch 'master' of https://git.overleaf.com/5fcce4736e7f601ffb7e1484
-rw-r--r--bezout.tex4
1 files changed, 3 insertions, 1 deletions
diff --git a/bezout.tex b/bezout.tex
index d02a11a..4c4ff46 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -113,7 +113,9 @@ 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 $
+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