Zhukov, Igor’ Borisovich; Ivanova, Ol’ga Yur’evich Explicit constructions of extensions of complete fields of characteristic 0. (Russian. English summary) Zbl 07804946 Chebyshevskiĭ Sb. 24, No. 2(88), 179-196 (2023). MSC: 11S15 11S31 11S70 PDFBibTeX XMLCite \textit{I. B. Zhukov} and \textit{O. Y. Ivanova}, Chebyshevskiĭ Sb. 24, No. 2(88), 179--196 (2023; Zbl 07804946) Full Text: DOI MNR
Benois, Denis An introduction to \(p\)-adic Hodge theory. (English) Zbl 1498.11001 Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 69-219 (2022). MSC: 11-01 14-01 11S15 14F30 11S20 14G20 11F80 14L05 11F85 14G45 14C30 PDFBibTeX XMLCite \textit{D. Benois}, in: Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9--20, 2019. Singapore: Springer. 69--219 (2022; Zbl 1498.11001) 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
Schmidt, Matthew Schmid’s formula for higher local fields. (English. French summary) Zbl 1462.11109 J. Théor. Nombres Bordx. 32, No. 2, 355-371 (2020). Reviewer: Kevin Keating (Gainesville) MSC: 11S31 11S15 11S70 PDFBibTeX XMLCite \textit{M. Schmidt}, J. Théor. Nombres Bordx. 32, No. 2, 355--371 (2020; Zbl 1462.11109) Full Text: DOI arXiv
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
Arkhipova, Arina; Esterov, Alexander Signs of the leading coefficients of the resultant. (English) Zbl 1379.52012 Geom. Funct. Anal. 27, No. 1, 33-66 (2017). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 52A39 PDFBibTeX XMLCite \textit{A. Arkhipova} and \textit{A. Esterov}, Geom. Funct. Anal. 27, No. 1, 33--66 (2017; Zbl 1379.52012) Full Text: DOI arXiv
Volkov, V. V. On the norm property of the Hilbert symbol for polynomial formal modules in a multidimensional local field. (English. Russian original) Zbl 1409.11108 Vestn. St. Petersbg. Univ., Math. 49, No. 4, 320-324 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 552-557 (2016). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{V. V. Volkov}, Vestn. St. Petersbg. Univ., Math. 49, No. 4, 320--324 (2016; Zbl 1409.11108); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 552--557 (2016) Full Text: DOI
Vostokov, S. V.; Vostokova, E. S. Pairings in local fields and cryptography. (English) Zbl 1369.11080 Lobachevskii J. Math. 36, No. 4, 319-327 (2015). MSC: 11S31 94A60 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{E. S. Vostokova}, Lobachevskii J. Math. 36, No. 4, 319--327 (2015; Zbl 1369.11080) Full Text: DOI
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
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
Abrashkin, Victor; Jenni, Ruth The field-of-norms functor and the Hilbert symbol for higher local fields. (English. French summary) Zbl 1286.11204 J. Théor. Nombres Bordx. 24, No. 1, 1-39 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11S31 11S20 11S70 PDFBibTeX XMLCite \textit{V. Abrashkin} and \textit{R. Jenni}, J. Théor. Nombres Bordx. 24, No. 1, 1--39 (2012; Zbl 1286.11204) Full Text: DOI arXiv Link
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
Abrashkin, Victor Towards explicit description of ramification filtration in the 2-dimensional case. (English) Zbl 1118.11049 J. Théor. Nombres Bordx. 16, No. 2, 293-333 (2004). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11S15 11S20 11S31 12J25 PDFBibTeX XMLCite \textit{V. Abrashkin}, J. Théor. Nombres Bordx. 16, No. 2, 293--333 (2004; Zbl 1118.11049) Full Text: DOI Numdam EuDML Link
Pablos Romo, Fernando Algebraic construction of the tame symbol and the Parshin symbol on a surface. (English) Zbl 1072.14012 J. Algebra 274, No. 1, 335-346 (2004). Reviewer: Jannis A. Antoniadis (Iraklion) MSC: 14C35 20J05 14G05 14J99 14F99 PDFBibTeX XMLCite \textit{F. Pablos Romo}, J. Algebra 274, No. 1, 335--346 (2004; Zbl 1072.14012) Full Text: DOI
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
Bell, Robert A. On properties of the \(n\)-dimensional norm residue symbol in higher local class field theory. (English) Zbl 0864.11060 J. Pure Appl. Algebra 108, No. 1, 1-6 (1996). Reviewer: Zhang Xianke (Beijing) MSC: 11S31 PDFBibTeX XMLCite \textit{R. A. Bell}, J. Pure Appl. Algebra 108, No. 1, 1--6 (1996; Zbl 0864.11060) Full Text: DOI
Brylinski, J.-L.; McLaughlin, D. A. The geometry of two-dimensional symbols. (English) Zbl 0870.32004 \(K\)-Theory 10, No. 3, 215-237 (1996). Reviewer: N.Mihalache (Bucureşti) MSC: 32C35 32A20 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{D. A. McLaughlin}, \(K\)-Theory 10, No. 3, 215--237 (1996; Zbl 0870.32004) Full Text: DOI