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math.AC2006★ 2 cited
Prolongations and computational algebra
Jessica Sidman, Seth Sullivant
We explore the geometric notion of prolongations in the setting of computational algebra, extending results of Landsberg and Manivel which relate prolongations to equations for sec…
math.AC2001
A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements
Harm Derksen, Jessica Sidman
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 pa…