The algebra of closed forms in a disk is Koszul

  title={The algebra of closed forms in a disk is Koszul},
  author={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 nontopologically and topologically) Koszul. The connection with variations of mixed Hodge–Tate structures is discussed in the introduction. 


Koszul duality and Galois cohomology
It it shown that the Bloch-Kato conjecture on the norm residue homomorphism $K^M(F)/l \to H^*(G_F,Z/l)$ follows from its (partially known) low-degree part under the assumption that the Milnor
Koszul property and Bogomolov's conjecture
This is an enhanced version of the author's 1998 Harvard Ph.D. thesis, as published by IMRN in 2005. We propose an extension of Bogomolov's conjecture about commutator subgroups of Galois groups to
Koszul Duality Patterns in Representation Theory
The aim of this paper is to work out a concrete example as well as to provide the general pattern of applications of Koszul duality to repre- sentation theory. The paper consists of three parts
Note on R-Hodge-Tate sheaves
  • Preprint of Max-Planck-Institut für Mathematik (Bonn) MPIM2001-37,
  • 2001
Quadratic algebras. University Lecture Series, 37
  • AMS, Providence, RI,
  • 2005
Sector of Algebra and Number Theory, Institute for Information Transmission Problems
  • Koszul resolutions. Transactions AMS 152,
  • 1970