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Commit 015e6d74 authored by Luke Naylor's avatar Luke Naylor
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Extend main lemma to rank 0

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......@@ -505,7 +505,7 @@ semistabilizing sequence.
\begin{lemma}[Numerical tests for left-wall pseudo-semistabilizers]
\label{lem:pseudo_wall_numerical_tests}
Let $v$ and $u$ be Chern characters with $\Delta(v),
\Delta(u)\geq 0$, and $v$ has positive rank. Let $P$ be a point on $\Theta_v^-$.
\Delta(u)\geq 0$, and $v$ has non-negative rank. Let $P$ be a point on $\Theta_v^-$.
\noindent
The following conditions:
......@@ -613,6 +613,8 @@ Therefore, it's also a pseudo-semistabilizer further along the circle at $Q$
Finally, consequence 4 along with $P$ being to the left of $V_u$ implies
$\nu_P(u) > 0$ giving supposition b.
The case with rank 0 can be handled the same way.
\end{proof}
\section{The Problem: Finding Pseudo-walls}
......
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