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Commit 8c79d043 authored by Luke Naylor's avatar Luke Naylor
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Syntax sugar up bg forms with Δ

parent d3718d25
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...@@ -154,6 +154,8 @@ $\chern(E) = (r,c,d)$ of some semistabilizer $E$. ...@@ -154,6 +154,8 @@ $\chern(E) = (r,c,d)$ of some semistabilizer $E$.
v = Chern_Char(*var("R C D", domain="real")) v = Chern_Char(*var("R C D", domain="real"))
u = Chern_Char(*var("r c d", domain="real")) u = Chern_Char(*var("r c d", domain="real"))
Δ = lambda v: v.Q_tilt()
\end{sagesilent} \end{sagesilent}
Recall [ref] that $\chern_1^{\beta_{-}}$ has fixed bounds in terms of Recall [ref] that $\chern_1^{\beta_{-}}$ has fixed bounds in terms of
...@@ -185,7 +187,8 @@ and we shall be varying $\chern_0(E) = r$ to see when certain inequalities fail. ...@@ -185,7 +187,8 @@ and we shall be varying $\chern_0(E) = r$ to see when certain inequalities fail.
This condition expressed in terms of $R,C,D,r,c,d$ looks as follows: This condition expressed in terms of $R,C,D,r,c,d$ looks as follows:
\begin{sagesilent} \begin{sagesilent}
bgmlv1 = - u.Q_tilt() - (v-u).Q_tilt() + v.Q_tilt() # First Bogomolov-Gieseker form expression that must be non-negative:
bgmlv1 = Δ(v) - Δ(u) - Δ(v-u)
\end{sagesilent} \end{sagesilent}
\begin{equation} \begin{equation}
......
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