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Commit 7fef49aa authored by Luke Naylor's avatar Luke Naylor
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Reformat last slide with tabular

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......@@ -12,6 +12,8 @@
\usepackage{ulem}
\usepackage{xcolor}
\usepackage{tcolorbox}
\usepackage{tabularx}
\usepackage{array}
\usetheme{edmaths}
\renewcommand\mathfamilydefault{\rmdefault}
......@@ -24,6 +26,7 @@
\newcommand\RR{\mathbb{R}}
\newcommand\CC{\mathbb{C}}
\newcommand\ZZ{\mathbb{Z}}
\newcommand\centralcharge{\mathcal{Z}}
\newcommand\coh{\operatorname{Coh}}
\newcommand\rank{\operatorname{rk}}
......@@ -291,15 +294,19 @@
\end{frame}
\begin{frame}{Notable Stability Conditions on Plane}
\begin{columns}[t,onlytextwidth] % align columns
\begin{column}{.49\linewidth}
When $\beta = \mu(E)$ \\
\begin{tabular}{ m{10cm}|m{10cm} }
$\beta = \mu(E)$
&
$\alpha$ fixed, $\beta \to - \infty$
\\ \hline
{
$\nu_{\alpha, \beta}(E) = + \infty$ so can only be destabilized by
$F \hookrightarrow E$ with $\nu_{\alpha, \beta}(F) = + \infty$ too
($\beta = \mu(F)$)
\end{column}%
\hfill%
\begin{column}{.49\linewidth}
}
&
{
$n \in \ZZ$
\begin{align*}
\nu_{\alpha, -n}(E) &=
\frac{
......@@ -317,7 +324,8 @@
}
}
\end{align*}
$\rightarrow$ Tends to Gieseker Stability
\vfill
\begin{tcolorbox}[title=Gieseker Stability]
E stable when red. Hilb. poly.
\[
......@@ -329,8 +337,8 @@
(equiv. to lexic. comparison between poly. coeffs)
}
\end{tcolorbox}
\end{column}
\end{columns}
}
\end{tabular}
\end{frame}
\section{Walls}
......
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