Functional Analysis and Its Applications

, Volume 46, Issue 3, pp 218–224

Closed form algebra on a disk is Koszul


DOI: 10.1007/s10688-012-0027-z

Cite this article as:
Positselski, L.E. Funct Anal Its Appl (2012) 46: 218. doi:10.1007/s10688-012-0027-z


We prove that the algebra of closed differential forms on an (algebraic, formal, or analytic) disk with logarithmic singularities along several coordinate hyperplanes is Koszul (both nontopologically and topologically). A relation to variations of mixed Hodge-Tate structures is discussed in the introduction.

Key words

closed differential form with logarithmic singularities mixed Hodge-Tate sheave Koszul algebra Koszul module quasi-algebra with external multiplication topological Koszulity 

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Faculty of Mathematics and Laboratory of Algebraic Geometry of Higher School of EconomicsInstitute for Information Transmission ProblemsMoscowRussia

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