The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring

Andrew R. Kustin, Hamid Rahmati, Adela Vraciu

Let $k$ be a field. For each pair of positive integers $(n,N)$, we resolve $Q=R/(x^N,y^N,z^N)$ as a module over the ring $R=k[x,y,z]/(x^n+y^n+z^n)$. Write $N$ in the form $N=an+r$…