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luke naylor latex documents
Presentations
Stabilities - Hodge Club
Commits
7fef49aa
Commit
7fef49aa
authored
1 year ago
by
Luke Naylor
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Reformat last slide with tabular
parent
49fe712d
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theme-test
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1 year ago
Stage: test
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main.tex
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17 additions, 9 deletions
main.tex
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main.tex
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9
View file @
7fef49aa
...
...
@@ -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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Luke Naylor
@s1511002
mentioned in commit
beabe1c2
·
1 year ago
mentioned in commit
beabe1c2
mentioned in commit beabe1c21594b2163e3f10b761416a8b63197ac5
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