Bolbachan, Vasily Chow dilogarithm and strong Suslin reciprocity law. (English) Zbl 07739106 J. Algebr. Geom. 32, No. 4, 697-728 (2023). MSC: 19D45 PDFBibTeX XMLCite \textit{V. Bolbachan}, J. Algebr. Geom. 32, No. 4, 697--728 (2023; Zbl 07739106) Full Text: DOI arXiv
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
Fesenko, Ivan Class field theory, its three main generalisations, and applications. (English) Zbl 1482.11152 EMS Surv. Math. Sci. 8, No. 1-2, 107-133 (2021). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 11S37 12-03 19F05 PDFBibTeX XMLCite \textit{I. Fesenko}, EMS Surv. Math. Sci. 8, No. 1--2, 107--133 (2021; Zbl 1482.11152) 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
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
Fesenko, Ivan B.; Vostokov, Sergei V.; Yoon, Seok Ho Generalised Kawada-Satake method for Mackey functors in class field theory. (English) Zbl 1426.19004 Eur. J. Math. 4, No. 3, 953-987 (2018). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 19F05 13F35 46B10 11R37 PDFBibTeX XMLCite \textit{I. B. Fesenko} et al., Eur. J. Math. 4, No. 3, 953--987 (2018; Zbl 1426.19004) Full Text: DOI
Pablos Romo, Fernando A general reciprocity law for symbols on arbitrary vector spaces. (English) Zbl 1441.11287 J. Algebra Appl. 17, No. 6, Article ID 1850101, 30 p. (2018). Reviewer: Kevin Hutchinson (Dublin) MSC: 11R56 15A03 19F15 PDFBibTeX XMLCite \textit{F. Pablos Romo}, J. Algebra Appl. 17, No. 6, Article ID 1850101, 30 p. (2018; Zbl 1441.11287) 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
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
Liu, Dongwen Kato’s residue homomorphisms and reciprocity laws on arithmetic surfaces. (English) Zbl 1295.14031 Adv. Math. 251, 1-21 (2014). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 14H25 11S70 14G40 19D45 PDFBibTeX XMLCite \textit{D. Liu}, Adv. Math. 251, 1--21 (2014; Zbl 1295.14031) Full Text: DOI arXiv
Dupré, Maurice J.; Glazebrook, James F.; Previato, Emma Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve. (English) Zbl 1276.19005 Complex Anal. Oper. Theory 7, No. 4, 739-763 (2013). MSC: 19K33 19K35 14H40 47C15 PDFBibTeX XMLCite \textit{M. J. Dupré} et al., Complex Anal. Oper. Theory 7, No. 4, 739--763 (2013; Zbl 1276.19005) Full Text: DOI arXiv
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
Kerz, Moritz Higher class field theory and the connected component. (English) Zbl 1221.19004 Manuscr. Math. 135, No. 1-2, 63-89 (2011). Reviewer: Takao Yamazaki (Tohoku) MSC: 19F05 14C35 14G40 11G45 PDFBibTeX XMLCite \textit{M. Kerz}, Manuscr. Math. 135, No. 1--2, 63--89 (2011; Zbl 1221.19004) Full Text: DOI arXiv
Pablos Romo, Fernando An \(n\)-dimensional Contou-Carrère symbol over an Artinian local ring. (English) Zbl 1136.19003 Manuscr. Math. 122, No. 2, 173-194 (2007). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 19F15 20F12 19D45 11S70 14G20 PDFBibTeX XMLCite \textit{F. Pablos Romo}, Manuscr. Math. 122, No. 2, 173--194 (2007; Zbl 1136.19003) Full Text: DOI
Pablos Romo, Fernando 3-cocycles, symbols and reciprocity laws on curves. (English) Zbl 1104.19002 J. Pure Appl. Algebra 205, No. 1, 94-116 (2006). Reviewer: Florence Soriano-Gafiuk (Schweyen) MSC: 19F15 14H05 19C09 PDFBibTeX XMLCite \textit{F. Pablos Romo}, J. Pure Appl. Algebra 205, No. 1, 94--116 (2006; Zbl 1104.19002) Full Text: DOI
Kurihara, Masato On the structure of Milnor \(K\)-groups of certain complete discrete valuation fields. (English) Zbl 1079.11058 J. Théor. Nombres Bordx. 16, No. 2, 377-401 (2004). Reviewer: M. E. Keating (London) MSC: 11S70 19D45 11S80 19F15 PDFBibTeX XMLCite \textit{M. Kurihara}, J. Théor. Nombres Bordx. 16, No. 2, 377--401 (2004; Zbl 1079.11058) Full Text: DOI Numdam EuDML
Spiess, Michael Class formations and higher dimensional local class field theory. (English) Zbl 0870.11072 J. Number Theory 62, No. 2, 273-283 (1997). Reviewer: H.Koch (Berlin) MSC: 11S31 19F05 PDFBibTeX XMLCite \textit{M. Spiess}, J. Number Theory 62, No. 2, 273--283 (1997; Zbl 0870.11072) 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
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