3 problems

Limiting BG conjecture. Suppose there is an open neighborhood $U\subset\mathbb{R}^2$ containing $(0,\overline{\beta}(E))$ such that, for every $(\alpha,\beta)\in U$ with $\alpha>0$…

Generalized Bogomolov–Gieseker inequality. One has

Bayer–Macrì–Stellari quadratic Bogomolov–Gieseker inequality conjecture. For every $\nu_{\omega,B}$-semistable object $E\in\mathcal{B}_{\omega,B}$,