Castelnuvo-Mumford regularity of Saturation - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T02:19:37Z http://mathoverflow.net/feeds/question/54077 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/54077/castelnuvo-mumford-regularity-of-saturation Castelnuvo-Mumford regularity of Saturation alex 2011-02-02T08:51:06Z 2011-02-02T08:58:08Z <p>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 $d\leq 2$ $$reg(IJ)^{sat} \leq reg I+reg J$$</p>