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Geometry of the section $X_0(N) \to X_0(pN)$ given by the canonical subgroup

Does it look like we just glue more g-holed tori to X(Γ)∖{disks} along the edge of the deleted disks? In a nutshell, yes. The way to think about $X(\Gamma \cap \Gamma_0(p))$ is the following. T …
David Loeffler's user avatar