2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105007A semiorthogonal decomposition for the bounded derived category (the category of perfect complexes in a non smooth case) of coherent sheaves on a Brauer Severi scheme is given. It relies on bounded derived categories (categories of perfect complexes in a non smooth case) of suitably twisted coherent sheaves on the base.12 pagesAlgebraic GeometryCategory Theory14F05; 14F22; 18E30text