2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150176We prove a general embedding theorem for Cohen--Macaulay curves (possibly nonreduced), and deduce a cheap proof of the standard results on pluricanonical embeddings of surfaces, assuming vanishing H^1(2K_X)=0.LaTeX2e with packages: amstex, amssymb, theorem. 32 ppAlgebraic GeometryEmbeddings of curves and surfacestext