2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159703In this note, I define a notion of a compactly supported object in a triangulated category. I prove a number of propositions relating this to traditional notions of support and give an application to the theory of derived Morita equivalence. I also discuss a connection to supersymmetric gauge theories arising from D-branes at a singularity.12 pages, uses utarticle.clsAlgebraic GeometryHigh Energy Physics - TheoryCategory Theorytext