2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59037We show that polarisations of type (1,...,1,2g+2) on g-dimensional abelian varieties are $\it{never}$ very ample, if $g\geq 3$. This disproves a conjecture of Debarre, Hulek and Spandaw. We also give a criterion for non-embeddings of abelian varieties into 2g+1-dimensional linear systems.6 PagesAlgebraic Geometrytext