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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 307, Pages 63–77
DOI: https://doi.org/10.4213/tm4037 (Mi tm4037) 		 
Spectral Algebras and Non-commutative Hodge-to-de Rham Degeneration

D. B. Kaledinab, A. A. Konovalovb, K. O. Magidsonb

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b National Research University Higher School of Economics, ul. Myasnitskaya 20, Moscow, 101000 Russia
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DOI: https://doi.org/10.4213/tm4037
Abstract: We revisit the non-commutative Hodge-to-de Rham degeneration theorem of the first author and present its proof in a somewhat streamlined and improved form that explicitly uses spectral algebraic geometry. We also try to explain why topology is essential to the proof.
Funding agency Grant number
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS 18-1-6-95-1
HSE Basic Research Program
Ministry of Education and Science of the Russian Federation 5-100
The work was supported in part by the BASIS Foundation, project no. 18-1-6-95-1, Leader (Math). The first two authors were also supported by the HSE Basic Research Program and the Russian Academic Excellence Project “5-100.”
Received: June 3, 2019
Revised: June 23, 2019
Accepted: October 11, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 307, Pages 51–64
DOI: https://doi.org/10.1134/S0081543819060038
Bibliographic databases:
Document Type: Article
UDC: 512.667
Language: Russian
Citation: D. B. Kaledin, A. A. Konovalov, K. O. Magidson, “Spectral Algebras and Non-commutative Hodge-to-de Rham Degeneration”, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019, 63–77; Proc. Steklov Inst. Math., 307 (2019), 51–64
Citation in format AMSBIB
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\paper Spectral Algebras and Non-commutative Hodge-to-de Rham Degeneration
\inbook Algebra, number theory, and algebraic geometry
\bookinfo Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich
\serial Trudy Mat. Inst. Steklova
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\vol 307
\pages 63--77
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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