2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78096The purpose of this paper is to give two applications of Fourier transforms and generic vanishing theorems: - we give a cohomological characterization of principal polarizations - we prove that if $X$ an abelian variety and $Θ$ a polarization of type $(1,...,1,2)$, then a general pair $(X,Θ)$ is log canonical10 pagesAlgebraic Geometry14K25; 14E05text