Sequentially Cohen-Macaulay Rees algebras

摘要

This paper studies the question of when the Rees algebras associated toarbitrary filtration of ideals are sequentially Cohen-Macaulay. Although thisproblem has been already investigated by N. T. Cuong, S. Goto and H. L. Truong,their situation is quite a bit of restricted, so we are eager to try thegeneralization of their results.