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, D. V. Grothendieck-Serre duality and theta-invariants on arithmetic surfaces. (English. Russian original) Zbl 1432.14026 Dokl. Math. 100, No. 1, 385-388 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 6, 617-621 (2019). Reviewer: Günter Lettl (Graz) MSC: 14G40 11R56 PDFBibTeX XMLCite \textit{D. V. Osipov}, Dokl. Math. 100, No. 1, 385--388 (2019; Zbl 1432.14026); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 6, 617--621 (2019) Full Text: DOI
Osipov, D. V. Adelic quotient group for algebraic surfaces. (English. Russian original) Zbl 1458.14056 St. Petersbg. Math. J. 30, No. 1, 111-122 (2019); translation from Algebra Anal. 30, No. 1, 151-169 (2018). MSC: 14J60 11G05 PDFBibTeX XMLCite \textit{D. V. Osipov}, St. Petersbg. Math. J. 30, No. 1, 111--122 (2019; Zbl 1458.14056); translation from Algebra Anal. 30, No. 1, 151--169 (2018) Full Text: DOI arXiv
Osipov, D. V. Arithmetic surfaces and adelic quotient groups. (English. Russian original) Zbl 1441.11286 Izv. Math. 82, No. 4, 817-836 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 4, 178-198 (2018). MSC: 11R56 14G40 11G99 PDFBibTeX XMLCite \textit{D. V. Osipov}, Izv. Math. 82, No. 4, 817--836 (2018; Zbl 1441.11286); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 4, 178--198 (2018) Full Text: DOI arXiv
Braunling, O.; Groechenig, M.; Heleodoro, A.; Wolfson, J. On the normally ordered tensor product and duality for Tate objects. (English) Zbl 1411.14005 Theory Appl. Categ. 33, 296-349 (2018); corrigendum ibid. 39, 186-188 (2023). Reviewer: Alexander Vauth (Lübbecke) MSC: 14A22 18B30 PDFBibTeX XMLCite \textit{O. Braunling} et al., Theory Appl. Categ. 33, 296--349 (2018; Zbl 1411.14005) Full Text: arXiv Link
Liu, Dongwen; Zhu, Yongchang LCA(2), Weil index, and product formula. (English) Zbl 1393.43002 Adv. Math. 329, 1088-1136 (2018). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 43A25 11R56 42B35 43A95 PDFBibTeX XMLCite \textit{D. Liu} and \textit{Y. Zhu}, Adv. Math. 329, 1088--1136 (2018; Zbl 1393.43002) Full Text: DOI arXiv
Braunling, O.; Groechenig, M.; Wolfson, J. Geometric and analytic structures on the higher adèles. (English) Zbl 1405.11148 Res. Math. Sci. 3, Paper No. 22, 56 p. (2016). MSC: 11S31 14G22 11R56 13J10 18E10 PDFBibTeX XMLCite \textit{O. Braunling} et al., Res. Math. Sci. 3, Paper No. 22, 56 p. (2016; Zbl 1405.11148) Full Text: DOI arXiv
Osipov, D. V.; Parshin, A. N. Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. (English. Russian original) Zbl 1377.11121 Proc. Steklov Inst. Math. 292, 185-201 (2016); translation from Tr. Mat. Inst. Steklova 292, 191-208 (2016). MSC: 11S23 11S85 20H05 20C15 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 292, 185--201 (2016; Zbl 1377.11121); translation from Tr. Mat. Inst. Steklova 292, 191--208 (2016) Full Text: DOI arXiv
Liu, Dongwen Residues and duality on semi-local two-dimensional adeles. (English) Zbl 1330.14047 J. Algebra 448, 74-83 (2016). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 14H25 11S70 11G25 PDFBibTeX XMLCite \textit{D. Liu}, J. Algebra 448, 74--83 (2016; Zbl 1330.14047) Full Text: DOI arXiv
Cámara, Alberto Locally convex structures on higher local fields. (English) Zbl 1312.12003 J. Number Theory 143, 185-213 (2014). Reviewer: Valeriu Popa (Chişinău) MSC: 12J10 46S10 30G06 PDFBibTeX XMLCite \textit{A. Cámara}, J. Number Theory 143, 185--213 (2014; Zbl 1312.12003) Full Text: DOI arXiv
Osipov, D. V. The unramified two-dimensional Langlands correspondence. (English. Russian original) Zbl 1317.11124 Izv. Math. 77, No. 4, 714-741 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 4, 73-102 (2013). MSC: 11S37 11S31 14J20 18D05 PDFBibTeX XMLCite \textit{D. V. Osipov}, Izv. Math. 77, No. 4, 714--741 (2013; Zbl 1317.11124); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 4, 73--102 (2013) Full Text: DOI arXiv
Vostokov, Sergei V.; Gorchinskiy, Sergey O.; Zheglov, Alexander B.; Zarkhin, Yurii G.; Nesterenko, Yuri V.; Orlov, Dmitri O.; Osipov, Denis V.; Popov, Vladimir L.; Sergeev, Armen G.; Shafarevich, Igor R. Aleksei Nikolaevich Parshin (on his 70th birthday). (English. Russian original) Zbl 1266.01042 Russ. Math. Surv. 68, No. 1, 189-197 (2013); translation from Usp. Mat. Nauk 68, No. 1, 201-207 (2013). MSC: 01A70 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Russ. Math. Surv. 68, No. 1, 189--197 (2013; Zbl 1266.01042); translation from Usp. Mat. Nauk 68, No. 1, 201--207 (2013) Full Text: DOI
Parshin, A. N. [Rezvyakova, Irina S.] Notes on the Poisson formula. With an appendix by Irina S. Rezvyakova. (English. Russian original) Zbl 1323.11065 St. Petersbg. Math. J. 23, No. 5, 781-818 (2012); translation from Algebra Anal. 23, No. 5, 1-54 (2011). MSC: 11M36 11M41 11R42 14G10 PDFBibTeX XMLCite \textit{A. N. Parshin}, St. Petersbg. Math. J. 23, No. 5, 781--818 (2012; Zbl 1323.11065); translation from Algebra Anal. 23, No. 5, 1--54 (2011) Full Text: DOI