2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135064The complex Busemann-Petty problem asks whether origin symmetric convex bodies in $\C^n$ with smaller central hyperplane sections necessarily have smaller volume. We prove that the answer is affirmative if $n\le 3$ and negative if $n\ge 4.$18 pagesFunctional AnalysisMetric Geometry52A20text