Sectional genera of parameter ideals

Let M be a finitely generated module over a Noetherian local ring. This paper reports, for a given parameter ideal Q for M, a criterion for the equality gs(Q;M)=hdegQ(M)−eQ0(M)−TQ1(M), where gs(Q;M), hdegQ(M), eQ0(M), and TQ1(M) respectively denote the sectional genus, the homological degree, the multiplicity, and the homological torsion of M with respect to Q.