From 357ceadde37599ec164d135913f57517d5427ba0 Mon Sep 17 00:00:00 2001 From: "kurchan.jorge" Date: Thu, 10 Dec 2020 12:52:43 +0000 Subject: Update on Overleaf. --- bezout.tex | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) (limited to 'bezout.tex') 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 -- cgit v1.2.3-54-g00ecf