2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72189Admissible locally-free sheaves on P^3, also known in the literature as mathematical instanton bundles, arise in twistor theory, and are in 1-1 correspondence with instantons on R^4. In this paper, we study admissible sheaves on P^3 from the algebraic geometric point of view. We discuss examples and compare the admissibility condition with semistability and splitting type.17 pages; presented at the 18th Brazilian Algebra MeetingAlgebraic Geometrytext