2015/11/09 by Sbarra, Enrico, Strazzanti, Francesco
#13a02 #13c13 #13d45 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1511.02755
The relationships between the invariants and the homological properties of I, \rm Gin(I) and I\rm lex have been studied extensively over the past decades. A result of A. Conca, J. Herzog and T. Hibi points out some rigid behaviours of their Betti numbers. In this work we establish a local cohomology counterpart of their theorem. To this end, we make use of properties of sequentially Cohen-Macaulay modules and we study a generalization of such concept by introducing what we call partially sequentially Cohen-Macaulay modules, which might be of interest by themselves.