2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75528We prove that the cotangent bundle of a complete intersection of two general translates of the theta divisor of the jacobian of a general curve of genus 4 is ample. From this the same result for a general principally polarized abelian variety of dimension 4 follows.ams-latex, 8 pagesAlgebraic Geometry14K12; 14M10; 14F10Ampleness of intersections of translates of theta divisors in an abelian fourfoldtext