TITLE: Is a Gorenstein ring a quotient of a local complete intersection
QUESTION [6 upvotes]: The title says it all - Suppose you are given a noetherian Gorenstein local ring $(A,m,k)$ of finite Krull dimension. 
Does there exist a local complete intersection ring $B$ such that $A$ is a homomorphic image of $B$?
In the answer to this question
A local ring not a quotient of a regular local ring
This paper was given
http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.nmj/1118785530&page=record
where there is an example of a Gorenstein ring which is not a quotient of a regular ring, but it is not clear to me if it cannot be expressed as a quotient of a local complete intersection.

REPLY [12 votes]: No. A quotient of a local complete intersection ring has complete intersection formal fibers and so its complete intersection locus is open. In "Greco-Marinari, Nagata's Criterion and Openness of Loci for Gorenstein and Complete Intersection, Math. Z 160 (1978), 207-216", Example 4.3, there is an example of a local Gorenstein ring that do not satisfy this property.