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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 3, Pages 71–80
DOI: https://doi.org/10.4213/faa3078 (Mi faa3078) 		 
Closed Form Algebra on a Disk is Koszul

L. E. Positsel'skiiab

a A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
b National Research University "Higher School of Economics"
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DOI: https://doi.org/10.4213/faa3078
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.
Keywords: closed differential form with logarithmic singularities, mixed Hodge–Tate sheave, Koszul algebra, Koszul module, quasi-algebra with external multiplication, topological Koszulity.
Received: 13.08.2010
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 3, Pages 218–224
DOI: https://doi.org/10.1007/s10688-012-0027-z
Bibliographic databases:
Document Type: Article
UDC: 514.7+512.66
Language: Russian
Citation: L. E. Positsel'skii, “Closed Form Algebra on a Disk is Koszul”, Funktsional. Anal. i Prilozhen., 46:3 (2012), 71–80; Funct. Anal. Appl., 46:3 (2012), 218–224
Citation in format AMSBIB
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