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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
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.
Received: June 3, 2019 Revised: June 23, 2019 Accepted: October 11, 2019
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
Linking options:
https://www.mathnet.ru/eng/tm4037https://doi.org/10.4213/tm4037 https://www.mathnet.ru/eng/tm/v307/p63
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Abstract page: | 548 | Full-text PDF : | 134 | References: | 31 | First page: | 19 |
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