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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"
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
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
Linking options:
https://www.mathnet.ru/eng/faa3078https://doi.org/10.4213/faa3078 https://www.mathnet.ru/eng/faa/v46/i3/p71
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Abstract page: | 876 | Full-text PDF : | 225 | References: | 38 | First page: | 30 |
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