diff --git a/main.tex b/main.tex
index a80b16059b76dc5607a1b18f0551911af7a53c72..ea2c4504fedbbf3e245c8ef5e4caeb8b7a165bfc 100644
--- a/main.tex
+++ b/main.tex
@@ -293,7 +293,7 @@ as well as the restrictions on $v$:
 \end{fact}
 
 
-\minorheading{Relevance of the vertical line $V_v$}
+\subsection{Relevance of the Vertical Line $V_v$}
 
 By definition of the first tilt $\firsttilt\beta$, objects of Chern character
 $v$ can only be in $\firsttilt\beta$ on the left of $V_v$, where
@@ -359,7 +359,7 @@ v2 = Chern_Char(3, 2, 2/3)
 \end{figure}
 
 
-\minorheading{Relevance of the hyperbola $\Theta_v$}
+\subsection{Relevance of the Hyperbola $\Theta_v$}
 
 Since $\chern_2^{\alpha, \beta}$ is the numerator of the tilt slope
 $\nu_{\alpha, \beta}$. The curve $\Theta_v$, where this is 0, firstly divides the