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tex/setting-and-problems.tex
View file @ ade283c0
...@@ -110,7 +110,7 @@ $d \in \frac{1}{\lcm(m,2)}\ZZ$. ...@@ -110,7 +110,7 @@ $d \in \frac{1}{\lcm(m,2)}\ZZ$.
(otherwise the destabilising subobject would also destabilise $F$). (otherwise the destabilising subobject would also destabilise $F$).
Similarly $G$ must also be semistable too. Similarly $G$ must also be semistable too.
$E$ and $G$ being semistable implies they also satisfy the Bogomolov $E$ and $G$ being semistable implies they also satisfy the Bogomolov
inequalities: inequalities (Theorem \ref{lem:bogomolov-inequality}):
% TODO ref Bogomolov inequalities for tilt stability % TODO ref Bogomolov inequalities for tilt stability
$\Delta(E), \Delta(G) \geq 0$. $\Delta(E), \Delta(G) \geq 0$.
Expressing this in terms of Chern characters for $E$ and $F$ gives: Expressing this in terms of Chern characters for $E$ and $F$ gives:
......