Equimultiple ideals

The paper "The multiplicity and the Cohen–Macaulayness of extended Rees algebras of equimultiple ideals" gives some multiplicity formulas of the extended Rees algebras \({\rm{T = A[It}}{\rm{,}}{{\rm{t}}^{ - 1}}{\rm{]}}\). In the case A generalized Cohen–Macaulay, we determine when T is Cohen–Macaulay and as an immediate consequence we obtain e.g., some criteria for the Cohen–Macaulayness of Rees algebra R(I) over a Cohen–Macaulay ring in terms of reduction numbers and ideals.

12p runordie5 04-07-2022 6 2   Download