2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112782We show that the linked Grassmannian scheme, which arises in a functorial compactification of spaces of limit linear series, and in local models of certain Shimura varieties, is Cohen-Macaulay, reduced, and flat. We give an application to spaces of limit linear series.8 pagesAlgebraic Geometry14M15; 14H51; 14G35Flatness of the linked Grassmanniantext