Closed form algebra on a disk is Koszul
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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 wordsclosed differential form with logarithmic singularities mixed Hodge-Tate sheave Koszul algebra Koszul module quasi-algebra with external multiplication topological Koszulity
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- A. Levin, Note on ℝ-Hodge-Tate Sheaves, Max Planck Institute for Mathematics Preprint, MPIM2001-37; http://www.mpim-bonn.mpg.de/preprints.