This paper gives a necessary and sufficient condition for Gorensteinness in
Rees algebras of the d-th power of parameter ideals in certain Noetherian
local rings of dimension dβ₯2. The main result of this paper produces many
Gorenstein Rees algebras over non-Cohen-Macaulay local rings. For example, the
Rees algebra R(qd)=βiβ₯0βqdi is
Gorenstein for every parameter ideal q that is a reduction of the
maximal ideal in a d-dimensional Buchsbaum local ring of depth 1 and
multiplicity 2.Comment: 29 page