, Volume 46, Issue 3, pp 218-224
Date: 14 Sep 2012

Closed form algebra on a disk is Koszul

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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.