Functional Analysis and Its Applications

, Volume 46, Issue 3, pp 218–224

Closed form algebra on a disk is Koszul

Article

Abstract

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 

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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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