2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163037In view of Kobayashi's hyperbolicity conjecture, Demailly-Semple jets of orders 4 and 5 in dimension 2 are studied, some expectations about their algebraic tameness being (dis)proved, after systematic, substantial, formal, manual calculations.Complex VariablesAlgebraic Geometry13A50, 32Q45, 14J70Demailly-Semple jets of orders 4 and 5 in dimension 2text