On curves with high multiplicity on $\mathbb{P}(a,b,c)$ for $\min (a,b,c)\le 4$

David McKinnon, Rindra Razafy, Matthew Satriano +1

On a weighted projective surface $\mathbb{P}(a,b,c)$ with $\min (a,b,c)\le 4$, we compute lower bounds for the {\em effective threshold} of an ample divisor, in other words, the hi…