Closed form algebra on a disk is Koszul
- L. E. Positselski
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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.
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- Closed form algebra on a disk is Koszul
Functional Analysis and Its Applications
Volume 46, Issue 3 , pp 218-224
- Cover Date
- Print ISSN
- Online ISSN
- SP MAIK Nauka/Interperiodica
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- closed differential form with logarithmic singularities
- mixed Hodge-Tate sheave
- Koszul algebra
- Koszul module
- quasi-algebra with external multiplication
- topological Koszulity
- Author Affiliations
- 1. Faculty of Mathematics and Laboratory of Algebraic Geometry of Higher School of Economics, Institute for Information Transmission Problems, Moscow, Russia