2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147217The punctual Quot scheme parametrizes all length d quotients of a (locally) trivial rank r sheaf which are supported at a fixed point. The author shows that this scheme is irreducible and (rd-1)-dimensional. The same result was proved independently by Ellingsrud and Lehn.Latex2e, amssymb, amsmath packages; 4 pages. Proofs simplifiedAlgebraic Geometrytext