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diff --git a/bezout.tex b/bezout.tex
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+++ b/bezout.tex
@@ -13,7 +13,7 @@
\begin{document}
-\title{Complex complex landscapes: saturating the Bézout bound} % change me
+\title{Complex complex landscapes: I: saturating the Bézout bound} % change me
\author{Jaron Kent-Dobias}
\author{Jorge Kurchan}
@@ -23,7 +23,7 @@
\date\today
\begin{abstract}
- The complexity of the complex $p$-spin model saturates the Bézout bound \cite{Bezout_1779_Theorie}.
+ We study the saddle-points of the $p$-spin model, the best understood example of `complex land saturates the Bézout bound \cite{Bezout_1779_Theorie}.
\end{abstract}
\maketitle