From 0f62678f523d8a0497c997161e60b3dde61ae83b Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Fri, 18 Dec 2020 16:23:58 +0100
Subject: Reassure the reader we are not done.

---
 bezout.tex | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

(limited to 'bezout.tex')

diff --git a/bezout.tex b/bezout.tex
index d7f6399..ff6fcdc 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -343,9 +343,10 @@ This is, to this order,  precisely the Bézout bound, the maximum number of
 solutions that $N$ equations of degree $p-1$ may have
 \cite{Bezout_1779_Theorie}. That we saturate this bound is perhaps not
 surprising, since the coefficients of our polynomial equations
-\eqref{eq:polynomial} are complex and have no symmetries. Analogous asymptotic
-scaling has been found for the number of pure Higgs states in supersymmetric
-quiver theories \cite{Manschot_2012_From}.
+\eqref{eq:polynomial} are complex and have no symmetries. Reaching Bézout in
+\eqref{eq:bezout} is not our main result, but it provides a good check.
+Analogous asymptotic scaling has been found for the number of pure Higgs states
+in supersymmetric quiver theories \cite{Manschot_2012_From}.
 
 More insight is gained by looking at the count as a function of $a$, defined by
 $\overline{\mathcal N}(\kappa,\epsilon,a)=e^{Nf(a)}$.  In the large-$N$ limit,
-- 
cgit v1.2.3-54-g00ecf

