This paper studies the question of when the Rees algebras associated to arbitrary filtration of ideals are sequentially Cohen–Macaulay. Although this problem has been already investigated by [CGT], their situation is quite a bit of restricted, so we are eager to try the generalization of their results.
"Sequentially Cohen–Macaulay Rees algebras." J. Math. Soc. Japan 69 (1) 293 - 309, January, 2017. https://doi.org/10.2969/jmsj/06910293