Castelnuovo-Mumford regularity of associated graded modules and fiber   cones of filtered modules
  We give bounds on the Castelnuovo-Mumford regularity of the associated graded module of an arbitrary good filtration and of its fiber cone. These bounds extend previous results of Rossi-Trung-Valla and Linh. 
Le Xuan Dung and Le Tuan Hoa
math.AC