From 1de605fb205246e98f72e428fafa1ed0c44d2d90 Mon Sep 17 00:00:00 2001
From: Luke Naylor <l.naylor@sms.ed.ac.uk>
Date: Sun, 11 Jun 2023 17:52:08 +0100
Subject: [PATCH] Fix size issue of characteristic curves plots
---
main.tex | 88 +++++++++++++++++++++++++++++++++++---------------------
1 file changed, 55 insertions(+), 33 deletions(-)
diff --git a/main.tex b/main.tex
index afec667..6b05075 100644
--- a/main.tex
+++ b/main.tex
@@ -121,67 +121,89 @@ $\Delta(v) \geq 0$ and positive rank.
\begin{sagesilent}
def charact_curves(v):
- var("alpha beta")
- coords_range = (beta, -10, 10), (alpha, 0, 8)
+ alpha = stability.Tilt().alpha
+ beta = stability.Tilt().beta
+ coords_range = (beta, -4, 5), (alpha, 0, 4)
p = (
implicit_plot(stability.Tilt().degree(v), *coords_range )
+ line([(mu(v),0),(mu(v),5)], linestyle = "dashed")
- + text(r"$ch_2^{\alpha, \beta}(v)=0$",[3.5, 2], rotation=45, fontsize="large")
- + text(r"$ch_1^{\alpha, \beta}(v)=0$", [0.45, 1.5], rotation=90, fontsize="large")
- + text(r"$ch_2^{\alpha, \beta}(v)=0$", [-2, 2], rotation=-45, fontsize="large")
- + text(r"$\nu_{\alpha, \beta}(v)>0$", [-3, 1], rgbcolor="black", fontsize="large")
- + text(r"$\nu_{\alpha, \beta}(v)<0$", [-1, 3], rgbcolor="black", fontsize="large")
- + text(r"$\nu_{\alpha, \beta}(-v)>0$", [2, 3], rgbcolor="black", fontsize="large")
- + text(r"$\nu_{\alpha, \beta}(-v)<0$", [4, 1], rgbcolor="black", fontsize="large")
+ + text(r"$ch_2^{\alpha, \beta}(v)=0$",[3.5, 2], rotation=45, fontsize="x-large", clip=True)
+ + text(r"$ch_1^{\alpha, \beta}(v)=0$", [0.45, 1.5], rotation=90, fontsize="x-large", clip=True)
+ + text(r"$ch_2^{\alpha, \beta}(v)=0$", [-2, 2], rotation=-45, fontsize="x-large", clip=True)
+ + text(r"$\nu_{\alpha, \beta}(v)>0$", [-3, 1], rgbcolor="black", fontsize="x-large", clip=True)
+ + text(r"$\nu_{\alpha, \beta}(v)<0$", [-1, 3], rgbcolor="black", fontsize="x-large", clip=True)
+ + text(r"$\nu_{\alpha, \beta}(-v)>0$", [2, 3], rgbcolor="black", fontsize="x-large", clip=True)
+ + text(r"$\nu_{\alpha, \beta}(-v)<0$", [4, 1], rgbcolor="black", fontsize="x-large", clip=True)
)
p.xmax(5)
p.xmin(-4)
p.ymax(4)
p.axes_labels([r"$\beta$", r"$\alpha$"])
- p.tick_label_color("white")
return p
v1 = Chern_Char(3, 2, -2)
v2 = Chern_Char(3, 2, 2/3)
\end{sagesilent}
+%\begin{figure}
+% \centering
+% \sageplot[width=\textwidth]{charact_curves(v1)}
+% \caption{}
+% \label{fig:charact_curves_vis}
+%\end{figure}
\begin{figure}
\centering
-\resizebox{\textwidth}{!}{
-\sageplot{charact_curves(v1)}
+\begin{subfigure}{.49\textwidth}
+ \centering
+ \sageplot[width=\textwidth]{charact_curves(v1)}
+ \caption{$\Delta(v)>0$}
+ \label{fig:charact_curves_vis_bgmvlPos}
+\end{subfigure}%
+\hfill
+\begin{subfigure}{.49\textwidth}
+ \centering
+ \sageplot[width=\textwidth]{charact_curves(v2)}
+ \caption{$\Delta(v)=0$}
+ \label{fig:charact_curves_vis_bgmlv0}
+\end{subfigure}
+\caption{
+ Characteristic curves ($\chern_i^{\alpha,\beta}(v)=0$) of stability conditions
+ associated to Chern characters $v$ with $\Delta(v) \geq 0$ and positive rank.
}
-\caption{capt 1}
\label{fig:charact_curves_vis}
\end{figure}
+
\begin{sagesilent}
v = Chern_Char(3, 2, -2)
u = Chern_Char(1, 0, 0)
-alpha = stability.Tilt().alpha
-beta = stability.Tilt().beta
-
-coords_range = (beta, -5, 5), (alpha, 0, 5)
-
-charact_curve_plot = (
- implicit_plot(stability.Tilt().degree(u), *coords_range , rgbcolor = "red")
- + implicit_plot(stability.Tilt().degree(v), *coords_range )
- + line([(mu(v),0),(mu(v),5)], linestyle = "dashed", legend_label =
- r"$(3,2\ell,-4\ell^2/2)$")
- + line([(mu(u),0),(mu(u),5)], rgbcolor = "red", linestyle =
- "dashed", legend_label = r"$(1,0,0)$")
- + implicit_plot(stability.Tilt().wall_eqn(u,v)/alpha,
- *coords_range , rgbcolor = "black")
-)
-charact_curve_plot.xmax(1)
-charact_curve_plot.xmin(-2)
-charact_curve_plot.ymax(1.5)
-charact_curve_plot.axes_labels([r"$\beta$", r"$\alpha$"])
+def charact_curve_with_wall_plot(u,v):
+ alpha = stability.Tilt().alpha
+ beta = stability.Tilt().beta
+
+ coords_range = (beta, -5, 5), (alpha, 0, 5)
+
+ charact_curve_plot = (
+ implicit_plot(stability.Tilt().degree(u), *coords_range , rgbcolor = "red")
+ + implicit_plot(stability.Tilt().degree(v), *coords_range )
+ + line([(mu(v),0),(mu(v),5)], linestyle = "dashed", legend_label =
+ r"$(3,2\ell,-4\ell^2/2)$")
+ + line([(mu(u),0),(mu(u),5)], rgbcolor = "red", linestyle =
+ "dashed", legend_label = r"$(1,0,0)$")
+ + implicit_plot(stability.Tilt().wall_eqn(u,v)/alpha,
+ *coords_range , rgbcolor = "black")
+ )
+ charact_curve_plot.xmax(1)
+ charact_curve_plot.xmin(-2)
+ charact_curve_plot.ymax(1.5)
+ charact_curve_plot.axes_labels([r"$\beta$", r"$\alpha$"])
+ return charact_curve_plot
\end{sagesilent}
\begin{figure}
\centering
- \sageplot[width=\linewidth]{charact_curve_plot}
+ \sageplot[width=\linewidth]{charact_curve_with_wall_plot(u,v)}
\caption{}
\label{fig:characteristic-curves-example}
\end{figure}
--
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