The paper unifies and extends several non-containment results for trace and test ideals, and answers an open question of Huneke-Swanson with an explicit counterexample.
Homology of conductor
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abstract
We study some homological properties of the conductor ideal.
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Trace ideals, conductors, and ideals of finite (phantom) projective dimension
The paper unifies and extends several non-containment results for trace and test ideals, and answers an open question of Huneke-Swanson with an explicit counterexample.