25 citations · 58 across the 21 of their papers we have counts for
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Reflexivity and rigidity for complexes. I. Commutative rings
Luchezar L. Avramov, Srikanth B. Iyengar, Joseph Lipman
A notion of rigidity with respect to an arbitrary semidualizing complex C over a commutative noetherian ring R is introduced and studied. One of the main result characterizes C-rig…
Reduction of derived Hochschild functors over commutative algebras and schemes
Luchezar L. Avramov, Srikanth B. Iyengar, Joseph Lipman +1
We study functors underlying derived Hochschild cohomology, also called Shukla cohomology, of a commutative algebra S essentially of finite type and of finite flat dimension over a…
A vanishing theorem for finitely supported ideals in regular local rings
Joseph Lipman
A cohomological vanishing property is proved for finitely supported ideals in an arbitrary d-dimensional regular local ring. (Such vanishing implies some refined Briancon-Skoda-typ…
Integrally closed ideals in two-dimensional regular local rings are multiplier ideals
Joseph Lipman, Keiichi Watanabe
There has arisen in recent years a substantial theory of "multiplier ideals'' in commutative rings. These are integrally closed ideals with properties that lend themselves to highl…
Equisingularity and simultaneous resolution of singularities
Joseph Lipman
The purpose, mainly expository and speculative, of this paper---an outgrowth of a survey lecture at the September 1997 Obergurgl working week---is to indicate some (not all) of the…