2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101163Building on previous work of Kollar, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety have mild singularities in case the abelian variety is simple or the degree of the polarization is two.Minor modifications, improved exposition. 13 pagesAlgebraic Geometry14K05, 1K412, 14J17, 14F17text