## Castelnuvo-Mumford regularity of Saturation

Suppose that I and J are homogeneous ideals of $S=K[x_1,...,x_n]$ and set $d =\dim Tor_1(S/I,S/J)$. prove that for $d\leq 2$ $$reg(IJ)^{sat} \leq reg I+reg J$$

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Please go to the faq button up there to see the how and when for properly asking a question. – BS Feb 2 2011 at 11:23