Demonstrates improved bounds on Castelnuovo–Mumford regularity in arrangements of linear subspaces, indicating significant mathematical insights.
Let X be a union of n generic linear subspaces of codimension >1 in Pᵈ . Improving an earlier bound due to Derksen and Sidman (2002), we prove that the Castelnuovo–Mumford regularity of X satisfies reg(X) ≤ n - n / (2d-1) .
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Conca et al. (2026) studied this question.
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