A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Combinatorics
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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Cite
@article{arxiv.math/0109035,
title = {A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements},
author = {Harm Derksen and Jessica Sidman},
journal= {arXiv preprint arXiv:math/0109035},
year = {2007}
}
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6 pages