2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74731The purpose of this paper is to study the structure of reflexive sheaves over projective spaces through hyperplane sections. We give a criterion for a reflexive sheaf to split into a direct sum of line bundles. An application to the theory of free hyperplane arrangements is also given.13 pagesAlgebraic GeometryCommutative AlgebraCombinatorics14F05; 32S22; 13Dxx; 14J60Splitting criterion for reflexive sheavestext