A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62150We show that the ideal of an arrangement of d linear subspaces of projective space is d-regular in the sense of Castelnuovo and Mumford, answering a question of B. Sturmfels. In particular this implies that the ideal of an arrangement of d subspaces is generated in degrees less than or equal to d.6 pagesCommutative AlgebraAlgebraic GeometryCombinatorics13D02 (Primary), 52C35 (Secondary)A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangementstext