6 problems

Let $(Y,0)$ be a normal surface singularity with rational homology sphere link, and let $tilde{Y}$ be its minimal good resolution. An end-curve function for an end-curve is a funct…

Let $\Delta$ be the splice diagram associated to a ${\mathbb Q}$-Gorenstein surface singularity with ${\mathbb Q}$-homology sphere link. For a node $v$ and an adjacent edge $e$, le…

Let $n\geq 1$, let $k$ be the base field, and consider … with $a:=x^n$ and $b:=y^{2n+1}$. Set … Then $\operatorname{Spec}B$ is a wild $\mathbb{Z}/2\mathbb{Z}$-quotient singularity.…

Let $(X,0)$ be a normal surface singularity with rational homology sphere link $M$. Let $p_g$ be its geometric genus, let $Z_K$ be the canonical cycle, and let $\mathcal{V}$ be the…

Stevens's conjecture. A normal surface singularity is simple if and only if it is taut and quasi-homogeneous.

Stevens's conjecture. Simple normal surface singularities are exactly those rational singularities whose resolution graphs can be obtained from the graphs of rational double points…