Intersection matrices for the minimal regular model of $X_0(N)$ and applications to the Arakelov canonical sheaf

Paolo Dolce, Pietro Mercuri

Let $N>1$ be an integer coprime to $6$ such that $N\notin \{5,7,13\}$ and let $g=g(N)$ be the genus of the modular curve $X_0(N)$. We compute the intersection matrices relative to s…