On the regularity of products and intersections of complete intersections
On the regularity of products and intersections of complete intersections
The paper On the regularity of products and intersections of complete intersections proves the formulae reg(IJ) ≤ reg(I) + reg(J), reg(I ∩ J) ≤ reg(I) + reg(J) for arbitrary monomial complete intersections I and J, and provides examples showing that these inequalities do not hold for general complete intersections.