Classifying Compactly generated t-structures on the derived category of a Noetherian ring

We classify complactly generated t-structures on the derived category of modules over a commutative Noetherian ring R in terms of decreasing filtrations by supports on Spec®. A decreasing filtration by supports \phi : Z -> Spec® satisfies the weak Cousin condition if for any integer i \in Z, the set \phi(i) contains all the inmediate generalizations of each point in \phi(i+1). Every t-structure on D^b_fg® (equivalently, on D^-_fg®) is induced by complactly generated t-structures on D® whose associated filtrations by supports satisfy the weak Cousin condition. If the ring R has dualizing complex we prove that these are exactly the t-structures on D^b_fg®. More generally, if R has a pointwise dualizing complex we classify all compactly generated t-structures on D_fg®.