2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111590We give a full exceptional collection in the triangulated category of singularities in the sense of Orlov for a hypersurface singularity of Fermat type, and discuss its relation with homological mirror symmetry for simple elliptic hypersurface singularities.17 pages. v2: note added at the end of IntroductionAlgebraic Geometry14B05; 18E30text