Osipov, D. V. Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem. (English. Russian original) Zbl 1527.14015 Proc. Steklov Inst. Math. 320, 226-257 (2023); translation from Tr. Mat. Inst. Steklova 320, 243-277 (2023). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14C40 19D45 13F25 19F15 19L10 17B45 PDFBibTeX XMLCite \textit{D. V. Osipov}, Proc. Steklov Inst. Math. 320, 226--257 (2023; Zbl 1527.14015); translation from Tr. Mat. Inst. Steklova 320, 243--277 (2023) Full Text: DOI arXiv
Gorchinskiy, Sergeĭ O.; Osipov, Denis V. Iterated Laurent series over rings and the Contou-Carrère symbol. (English. Russian original) Zbl 1457.19005 Russ. Math. Surv. 75, No. 6, 995-1066 (2020); translation from Usp. Mat. Nauk 75, No. 6, 3-84 (2020). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19D45 13J05 14L15 19F05 13F25 PDFBibTeX XMLCite \textit{S. O. Gorchinskiy} and \textit{D. V. Osipov}, Russ. Math. Surv. 75, No. 6, 995--1066 (2020; Zbl 1457.19005); translation from Usp. Mat. Nauk 75, No. 6, 3--84 (2020) Full Text: DOI
Osipov, Denis V.; Parshin, Alekseĭ N. Harmonic analysis on the rank-2 value group of a two-dimensional local field. (English. Russian original) Zbl 1452.43005 Sb. Math. 211, No. 1, 115-160 (2020); translation from Mat. Sb. 211, No. 1, 125-174 (2020). MSC: 43A70 11S80 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Sb. Math. 211, No. 1, 115--160 (2020; Zbl 1452.43005); translation from Mat. Sb. 211, No. 1, 125--174 (2020) Full Text: DOI arXiv
Osipov, Denis V. Second Chern numbers of vector bundles and higher adeles. (English) Zbl 1397.14056 Bull. Korean Math. Soc. 54, No. 5, 1699-1718 (2017). MSC: 14J60 14J20 PDFBibTeX XMLCite \textit{D. V. Osipov}, Bull. Korean Math. Soc. 54, No. 5, 1699--1718 (2017; Zbl 1397.14056) Full Text: DOI arXiv
Osipov, Denis; Zhu, Xinwen The two-dimensional Contou-Carrère symbol and reciprocity laws. (English) Zbl 1346.19003 J. Algebr. Geom. 25, No. 4, 703-774 (2016). Reviewer: Kevin Hutchinson (Dublin) MSC: 19D45 PDFBibTeX XMLCite \textit{D. Osipov} and \textit{X. Zhu}, J. Algebr. Geom. 25, No. 4, 703--774 (2016; Zbl 1346.19003) Full Text: DOI arXiv Link