2001/09/05 by Harm Derksen, Jessica Sidman, Derksen, Harm +1
Computer Science · Mathematics · #13D02 (Primary) #52C35 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.AG #math.CO #msc:13D02 #msc:52C35
paper · pdf · doi:10.48550/arxiv.math/0109035
6 pages
arxiv created 2001/09/05 · openalex publication_date 2001/09/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.