2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78298We prove that any smooth complex projective variety $X$ with plurigenera $P_1(X)=P_2(X)=1$ and irregularity $q(X)=dim (X)$ is birational to an abelian variety.10 pages, amstexAlgebraic Geometry14H45, 14H99Characterization of Abelian Varietiestext