131 citations · 953 across the 64 of their papers we have counts for
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Artin-Tate motivic sheaves with finite coefficients over an algebraic variety
Leonid Positselski
We propose a construction of a tensor exact category F_X^m of Artin-Tate motivic sheaves with finite coefficients Z/m over an algebraic variety X (over a field K of characteristic…
Hochschild (co)homology of the second kind I
Alexander Polishchuk, Leonid Positselski
We define and study the Hochschild (co)homology of the second kind (known also as the Borel-Moore Hochschild homology and the compactly supported Hochschild cohomology) for curved…
Galois cohomology of a number field is Koszul
Leonid Positselski
We prove that the Milnor ring of any (one-dimensional) local or global field K modulo a prime number l is a Koszul algebra over Z/l. Under mild assumptions that are only needed in…
The algebra of closed forms in a disk is Koszul
Leonid Positselski
We prove that the algebra of closed differential forms in an (algebraic, formal, or analytic) disk with logarithmic singularities along several coordinate hyperplanes is (both nont…
Mixed Artin-Tate motives with finite coefficients
Leonid Positselski
The goal of this paper is to give an explicit description of the triangulated categories of Tate and Artin-Tate motives with finite coefficients Z/m over a field K containing a pri…