From the 1 of 7 linked papers with an AI index.
7 papers
Generalized symmetry in the vanishing of Ext
Tatheer Ajani, Paulo Martins, Victor D. Mendoza Rubio +1
The paper proves a generalized symmetry theorem for the vanishing of Ext between homologically finite complexes over a Noetherian ring equipped with a dualizing complex, extending…
Large homomorphisms on the homotopy lie coalgebra
Andrew J. Soto Levins, Ryan Watson
We introduce and study a notion of large homomorphisms on the homotopy lie coalgebra; these homomorphisms are a variant of the large homomorphisms of Levin. As a consequence of our…
Quasi-Gorenstein morphisms of commutative local dg-algebras
Zachary Nason, Andrew J. Soto Levins, Ryan Watson
We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new ev…
G-levels of perfect complexes
Lars Winther Christensen, Antonia Kekkou, Justin Lyle +2
We prove that a commutative noetherian ring is Gorenstein of dimension at most if is an upper bound on the G-levels of perfect -complexes. For local, we prove…
Lifting systems for finite length modules
Benjamin Katz, Nawaj KC, Kesavan Mohana Sundaram +2
This paper is concerned with lifting modules along a surjective map of noetherian local rings, say . A finitely generated -module is a naive…
Existence of balanced dualizing dg-modules
Michael K. Brown, Andrew J. Soto Levins, Prashanth Sridhar
We describe cohomological conditions that are necessary and sufficient for the existence of balanced dualizing dg-modules, generalizing a theorem of Van den Bergh for balanced dual…