3 problems

Rational surface singularities splice-quotient conjecture. Every rational surface singularity is a splice-quotient singularity.

Fix a rational homology sphere link and consider the general' $\mathbb{Q}$-Gorenstein singularity with that link. Suppose that its fundamental cycle has arithmetic genus at least…

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…