Simple cyclic covers of the plane and Seshadri constants of some general hypersurfaces in weighted projective space

Alex Küronya, Sönke Rollenske

Let $X$ be a general hypersurface of degree $md$ in the weighted projective space with weights $1,1,1,m$ for some for $d\ge 2$ and $m\ge 3$. We prove that the Seshadri constant o…