On the Castelnuovo–Mumford regularity of subspace arrangements
Abstract
Let X be a union of n generic linear subspaces of codimension >1 in \mathbb{P}^{d} . Improving an earlier bound due to Derksen and Sidman (2002), we prove that the Castelnuovo–Mumford regularity of X satisfies \operatorname{reg}(X) \le n - \lfloor n / (2d-1)\rfloor .
Fields of Study & Subjects
Commutative Algebra and Its Applications
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal of the European Mathematical Society
- Publication date
- 9 July 2026
- Language
- EN