Is there any upper bound for the min number of Generators of Canonical Module in terms of the number gens of defining ideal?

Let P=k[x1...xn] be a poly over a field. Suppose that R=k[x1...xn]/I. The canonical module of R is $ω_R=Ext^{n−dim(R)}_P(R,P)$. The question is that is there any upper bound for the min num of...

30 October 2015 3,819 3 View