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\usepackage[english]{babel}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}
\title{Bridgeland Stabilities and Finding Walls}
\subtitle{}
\author{Luke Naylor}
\date{March 2023}
\newcommand\RR{\mathbb{R}}
\newcommand\CC{\mathbb{C}}
\newcommand\centralcharge{\mathcal{Z}}
\newcommand\coh{\operatorname{Coh}}
\newcommand\rank{\operatorname{rk}}
\newcommand\degree{\operatorname{deg}}
\section{Transitioning to Stab on Triangulated Categories}
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\begin{sagesilent}
import sagetexscripts.fig1
\end{sagesilent}
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\begin{frame}{Central Charge for Mumford Stability}
\begin{align*}
\centralcharge \colon \coh(X) &\to \CC \\
E &\mapsto - \degree(E) + i \rank(E)
\end{align*}
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\resizebox{1\hsize}{!}{
\sageplot{sagetexscripts.fig1.plot()}
}
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\section{Section 1}
\section{Section 2}
\subsection{Subsection 2.1}
\end{document}