2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62582The notion of tangencial base point is well-known for schemes in characteristic zero. We show that the definition in terms of Puiseux series generalizes to the case of Deligne--Mumford stacks, over a field of arbitrary characteristic. We then apply this construction to moduli spaces of smooth curves, generalizing a result of Ihara-Nakamura.latex2e with xypic, 20 pages, 2 figuresAlgebraic Geometry14F35 14H10 (primary) 14A20 (secondary)text