학술논문
On the Castelnuovo-Mumford regularity of subspace arrangements
Document Type
Working Paper
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Abstract
Let $X$ be the union of $n$ generic linear subspaces of codimension $>1$ in $\mathbb{P}^d$. Improving an earlier bound due to Derksen and Sidman, we prove that the Castelnuovo-Mumford regularity of $X$ satisfies $ \operatorname{reg}(X) \le n - [n / (2d-1)]$.
Comment: 21 pages
Comment: 21 pages