7 citations · 9 across the 14 of their papers we have counts for
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Pseudo-dualizing complexes of torsion modules and semi-infinite MGM duality
Leonid Positselski
This paper is an MGM version of arXiv.org:1703.04266 and arXiv:1907.03364, and a follow-up to Section 5 of arXiv:1503.05523. In the setting of a commutative ring with a weakly…
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity
Leonid Positselski
Given a hereditary complete cotorsion pair generated by a set of objects in a Grothendieck category , we construct a natural equivalence between…
A relative version of Bass' theorem about finite-dimensional algebras
Leonid Positselski
As a special case of Bass' theory of perfect rings, one obtains the assertion that, over a finite-dimensional associative algebra over a field, all flat modules are projective. In…
Torsion modules and differential operators in infinitely many variables
Leonid Positselski
This paper grew out of the author's work on arXiv:2504.18460. Differential operators in the sense of Grothendieck acting between modules over a commutative ring can be interpreted…
- duality on the contra side
Leonid Positselski
Given a smooth morphism of schemes , denote by the sheaf of rings of fiberwise crystalline differential operators on relative t…