Closed Form Algebra on a Disk is Koszul
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 3, pp. 71-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: closed differential form with logarithmic singularities, mixed Hodge–Tate sheave, quasi-algebra with external multiplication, topological Koszulity.
Mots-clés : Koszul algebra, Koszul module
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L. E. Positsel'skii. Closed Form Algebra on a Disk is Koszul. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 3, pp. 71-80. http://geodesic.mathdoc.fr/item/FAA_2012_46_3_a4/

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