Arakelov Self-intersection numbers of minimal regular models of modular curves $X_0(p^2)$

Debargha Banerjee, Diganta Borah, Chitrabhanu Chaudhuri

We compute an asymptotic expression for the Arakelov self-intersection number of the relative dualizing sheaf of Edixhoven's minimal regular model for the modular curve $X_0(p^2)$…