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

By Harm Derksen, Jessica Sidman. 2001

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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 .

Subfields: Algebra and Number Theory, Computational Mathematics, Computational Theory and Mathematics

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