Madunts, A. I. Rings generated by convergence sets of multidimensional complete field. (English. Russian original) Zbl 07688754 J. Math. Sci., New York 272, No. 3, 444-449 (2023); translation from Zap. Nauchn. Semin. POMI 500, 149-157 (2021). Reviewer: Kevin Keating (Gainesville) MSC: 11S80 11S15 11S31 PDFBibTeX XMLCite \textit{A. I. Madunts}, J. Math. Sci., New York 272, No. 3, 444--449 (2023; Zbl 07688754); translation from Zap. Nauchn. Semin. POMI 500, 149--157 (2021) Full Text: DOI
Madunts, A. I. Convergence sets of multidimensional local fields. (English. Russian original) Zbl 1505.11147 J. Math. Sci., New York 264, No. 1, 80-85 (2022); translation from Zap. Nauchn. Semin. POMI 492, 125-133 (2020). Reviewer: Kevin Keating (Gainesville) MSC: 11S80 PDFBibTeX XMLCite \textit{A. I. Madunts}, J. Math. Sci., New York 264, No. 1, 80--85 (2022; Zbl 1505.11147); translation from Zap. Nauchn. Semin. POMI 492, 125--133 (2020) Full Text: DOI
Ikeda, Kazim İlhan; Serbest, Erol Local abelian Kato-Parshin reciprocity law: a survey. (English) Zbl 1499.11353 Hacet. J. Math. Stat. 50, No. 5, 1225-1250 (2021). MSC: 11S70 19F05 PDFBibTeX XMLCite \textit{K. İ. Ikeda} and \textit{E. Serbest}, Hacet. J. Math. Stat. 50, No. 5, 1225--1250 (2021; Zbl 1499.11353) Full Text: DOI
Braunling, Oliver; Groechenig, Michael; Wolfson, Jesse A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions. (English) Zbl 1505.19002 Trans. Am. Math. Soc., Ser. B 8, 679-753 (2021). MSC: 19D45 PDFBibTeX XMLCite \textit{O. Braunling} et al., Trans. Am. Math. Soc., Ser. B 8, 679--753 (2021; Zbl 1505.19002) Full Text: DOI arXiv
Kato, Kazuya; Leal, Isabel; Saito, Takeshi Refined Swan conductors \(\mod{p}\) of one-dimensional Galois representations. (English) Zbl 1442.14075 Nagoya Math. J. 236, 134-182 (2019). MSC: 14F30 11S31 PDFBibTeX XMLCite \textit{K. Kato} et al., Nagoya Math. J. 236, 134--182 (2019; Zbl 1442.14075) Full Text: DOI arXiv
Vostokov, Sergey V.; Volkov, V. V. Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II. (English. Russian original) Zbl 1400.11151 J. Math. Sci., New York 222, No. 4, 394-403 (2017); translation from Zap. Nauchn. Semin. POMI 443, 46-60 (2016). MSC: 11S31 19D45 19F05 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{V. V. Volkov}, J. Math. Sci., New York 222, No. 4, 394--403 (2017; Zbl 1400.11151); translation from Zap. Nauchn. Semin. POMI 443, 46--60 (2016) Full Text: DOI
Hutchinson, Kevin The third homology of \(\mathrm{SL}_2\) of fields with discrete valuation. (English) Zbl 1357.19003 J. Pure Appl. Algebra 221, No. 5, 1076-1111 (2017). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19D99 20J05 20G10 PDFBibTeX XMLCite \textit{K. Hutchinson}, J. Pure Appl. Algebra 221, No. 5, 1076--1111 (2017; Zbl 1357.19003) Full Text: DOI arXiv
Gorchinskiy, S. O.; Osipov, D. V. Higher-dimensional Contou-Carrère symbol and continuous automorphisms. (English. Russian original) Zbl 1360.19005 Funct. Anal. Appl. 50, No. 4, 268-280 (2016); translation from Funkts. Anal. Prilozh. 50, No. 4, 26-42 (2016). Reviewer: Andrew Dolphin (Antwerpen) MSC: 19D45 19F15 PDFBibTeX XMLCite \textit{S. O. Gorchinskiy} and \textit{D. V. Osipov}, Funct. Anal. Appl. 50, No. 4, 268--280 (2016; Zbl 1360.19005); translation from Funkts. Anal. Prilozh. 50, No. 4, 26--42 (2016) Full Text: DOI arXiv
Gorchinskiy, Sergey O.; Osipov, Denis V. Continuous homomorphisms between algebras of iterated Laurent series over a ring. (English. Russian original) Zbl 1359.13023 Proc. Steklov Inst. Math. 294, 47-66 (2016); translation from Tr. Mat. Inst. Steklova 294, 54-75 (2016). Reviewer: Ali Benhissi (Monastir) MSC: 13F25 PDFBibTeX XMLCite \textit{S. O. Gorchinskiy} and \textit{D. V. Osipov}, Proc. Steklov Inst. Math. 294, 47--66 (2016; Zbl 1359.13023); translation from Tr. Mat. Inst. Steklova 294, 54--75 (2016) Full Text: DOI arXiv
Cámara, Alberto Topology on rational points over \(n\)-local fields. (English) Zbl 1361.12005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 417-432 (2016). MSC: 12J10 54D55 14A15 PDFBibTeX XMLCite \textit{A. Cámara}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 417--432 (2016; Zbl 1361.12005) Full Text: DOI
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, 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
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, S. V. Shafarevich’s paper “A general reciprocity law”. (English. Russian original) Zbl 1283.11160 Sb. Math. 204, No. 6, 781-800 (2013); translation from Mat. Sb. 204, No. 6, 2-22 (2013). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11S31 11A15 11S15 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Sb. Math. 204, No. 6, 781--800 (2013; Zbl 1283.11160); translation from Mat. Sb. 204, No. 6, 2--22 (2013) Full Text: DOI
Hiranouchi, Toshiro Milnor \(K\)-groups modulo \(p^{n}\) of a complete discrete valuation field. (English) Zbl 1244.19002 Proc. Japan Acad., Ser. A 88, No. 4, 59-61 (2012). Reviewer: L. N. Vaserstein (University Park) MSC: 19D45 PDFBibTeX XMLCite \textit{T. Hiranouchi}, Proc. Japan Acad., Ser. A 88, No. 4, 59--61 (2012; Zbl 1244.19002) Full Text: DOI arXiv Euclid
Dubovitskaya, M. A. On the Brauer group of a two-dimensional local field. (English. Russian original) Zbl 1134.11043 Math. Notes 81, No. 6, 753-756 (2007); translation from Mat. Zametki 81, No. 6, 838-841 (2007). Reviewer: Andrea Bandini (Pisa) MSC: 11S80 PDFBibTeX XMLCite \textit{M. A. Dubovitskaya}, Math. Notes 81, No. 6, 753--756 (2007; Zbl 1134.11043); translation from Mat. Zametki 81, No. 6, 838--841 (2007) Full Text: DOI
Khovanskii, A. G. An analog of determinant related to Parshin-Kato theory and integer polytopes. (English. Russian original) Zbl 1109.14036 Funct. Anal. Appl. 40, No. 2, 126-133 (2006); translation from Funkts. Anal. Prilozh. 40, No. 2, 55-64 (2006). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14M25 PDFBibTeX XMLCite \textit{A. G. Khovanskii}, Funct. Anal. Appl. 40, No. 2, 126--133 (2006; Zbl 1109.14036); translation from Funkts. Anal. Prilozh. 40, No. 2, 55--64 (2006) Full Text: DOI
Vostokov, S. V.; Pak, G. K. Norm series in high-dimensional local fields. (English. Russian original) Zbl 1140.11351 J. Math. Sci., New York 130, No. 3, 4675-4688 (2005); translation from Zap. Nauchn. Semin. POMI 305, 60-83 (2003). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{G. K. Pak}, J. Math. Sci., New York 130, No. 3, 4675--4688 (2005; Zbl 1140.11351); translation from Zap. Nauchn. Semin. POMI 305, 60--83 (2003) Full Text: DOI
Bell, Robert A. On the properties of the Vostokov and Parshin pairing in higher local class field theory. (English) Zbl 0864.11061 J. Pure Appl. Algebra 108, No. 1, 7-16 (1996). Reviewer: Zhang Xianke (Beijing) MSC: 11S31 PDFBibTeX XMLCite \textit{R. A. Bell}, J. Pure Appl. Algebra 108, No. 1, 7--16 (1996; Zbl 0864.11061) Full Text: DOI
Fesenko, Ivan B. Abelian local \(p\)-class field theory. (English) Zbl 0819.11057 Math. Ann. 301, No. 3, 561-586 (1995). Reviewer: I.B.Fesenko (St.Petersburg) MSC: 11S31 19F05 19D45 11R37 11S70 11S15 PDFBibTeX XMLCite \textit{I. B. Fesenko}, Math. Ann. 301, No. 3, 561--586 (1995; Zbl 0819.11057) Full Text: DOI EuDML
Alexandru, Victor; Popescu, Nicolae Some elementary remarks about \(n\)-local fields. (English) Zbl 0846.12006 Rend. Semin. Mat. Univ. Padova 92, 17-28 (1994). Reviewer: J.Močkoř (Ostrava) MSC: 12J10 12J20 PDFBibTeX XMLCite \textit{V. Alexandru} and \textit{N. Popescu}, Rend. Semin. Mat. Univ. Padova 92, 17--28 (1994; Zbl 0846.12006) Full Text: Numdam EuDML
Benois, D. G.; Vostokov, S. V. On \(p\)-extensions of multidimensional local fields. (English) Zbl 0794.11043 Math. Nachr. 160, 59-68 (1993). Reviewer: H.Koch (Berlin) MSC: 11S15 PDFBibTeX XMLCite \textit{D. G. Benois} and \textit{S. V. Vostokov}, Math. Nachr. 160, 59--68 (1993; Zbl 0794.11043) Full Text: DOI
Fesenko, I. B. \(K\)-groups of multidimensional local fields. (English. Russian original) Zbl 0708.11065 Ukr. Math. J. 41, No. 2, 237-240 (1989); translation from Ukr. Mat. Zh. 41, No. 2, 266-268 (1989). Reviewer: A.N.Parshin MSC: 11S70 19D45 PDFBibTeX XMLCite \textit{I. B. Fesenko}, Ukr. Math. J. 41, No. 2, 237--240 (1989; Zbl 0708.11065); translation from Ukr. Mat. Zh. 41, No. 2, 266--268 (1989) Full Text: DOI