A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements
Harm Derksen, Jessica Sidman
Abstract
We 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.
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