2 problems

Parabolic stability necessity conjecture. If $\widehat M$ admits a scalar-flat Kähler metric, then $E$ must be parabolically stable. This is a necessary-condition conjecture for th…

Let $\Gamma \subset {\rm{U}}(2)$ be a finite subgroup containing no complex reflections, and let $\widetilde{X}$ be the minimal resolution of $\mathbb{C}^2/\Gamma$. A small deforma…