2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79679We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomology of X. We study invariants of X that can be deduced from this resolution. A key ingredient is a result of Aramova, Avramov, and Herzog [2000] on resolutions of monomial ideals in the exterior algebra. We give a new conceptual proof of this result.22 pages, plain TeX, uses diagrams.tex, one new section addedAlgebraic GeometryAlgebraic TopologyCombinatorics15A75, 52C35, 55N45 (Primary); 55N99, 14Q99 (Secondary)text