2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163444We classify principal bundles over anti-affine schemes with affine and commutative structural group. We show that this yields the classification of quasi-abelian varieties over a field k (i.e., group k-schemes with no non constant global functions). The interest of this result is given by the fact that the classification of smooth group k-schemes is reduced to the classification of quasi-abelian varieties and of certain affine group schemes.26 pagesAlgebraic Geometry14L15text