Alfonsi, Luigi; Young, Charles Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex. (English) Zbl 07725264 J. Geom. Phys. 191, Article ID 104903, 51 p. (2023). MSC: 53D17 17B63 PDFBibTeX XMLCite \textit{L. Alfonsi} and \textit{C. Young}, J. Geom. Phys. 191, Article ID 104903, 51 p. (2023; Zbl 07725264) Full Text: DOI arXiv
Rülling, Kay; Saito, Shuji Ramification theory of reciprocity sheaves. II: Higher local symbols. (English) Zbl 1521.14010 Eur. J. Math. 9, No. 3, Paper No. 56, 34 p. (2023). MSC: 14B15 14E22 PDFBibTeX XMLCite \textit{K. Rülling} and \textit{S. Saito}, Eur. J. Math. 9, No. 3, Paper No. 56, 34 p. (2023; Zbl 1521.14010) Full Text: DOI arXiv
Dolce, Paolo Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing. (English) Zbl 1498.14062 Kyoto J. Math. 62, No. 2, 433-470 (2022). MSC: 14G40 11R56 14C17 14J20 PDFBibTeX XMLCite \textit{P. Dolce}, Kyoto J. Math. 62, No. 2, 433--470 (2022; Zbl 1498.14062) 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
Czerniawska, Weronika; Dolce, Paolo Adelic geometry on arithmetic surfaces. II: Completed adeles and idelic Arakelov intersection theory. (English) Zbl 1444.14054 J. Number Theory 211, 235-296 (2020). Reviewer: Ana María Botero (Regensburg) MSC: 14G40 11G99 14C17 14J20 PDFBibTeX XMLCite \textit{W. Czerniawska} and \textit{P. Dolce}, J. Number Theory 211, 235--296 (2020; Zbl 1444.14054) 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
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
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
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
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
Mazin, Mikhail Parshin residues via coboundary operators. (English) Zbl 1252.32006 Mich. Math. J. 61, No. 3, 651-670 (2012). MSC: 32A27 14B05 PDFBibTeX XMLCite \textit{M. Mazin}, Mich. Math. J. 61, No. 3, 651--670 (2012; Zbl 1252.32006) Full Text: DOI arXiv Euclid
Couvreur, Alain Differential approach for the study of duals of algebraic-geometric codes on surfaces. (English. French summary) Zbl 1278.14036 J. Théor. Nombres Bordx. 23, No. 1, 95-120 (2011). Reviewer: Peter Beelen (Lyngby) MSC: 14G50 94B27 11T71 PDFBibTeX XMLCite \textit{A. Couvreur}, J. Théor. Nombres Bordx. 23, No. 1, 95--120 (2011; Zbl 1278.14036) Full Text: DOI arXiv EuDML
Couvreur, Alain Sums of residues on algebraic surfaces and application to coding theory. (English) Zbl 1174.14023 J. Pure Appl. Algebra 213, No. 12, 2201-2223 (2009). MSC: 14G50 14J20 94B27 PDFBibTeX XMLCite \textit{A. Couvreur}, J. Pure Appl. Algebra 213, No. 12, 2201--2223 (2009; Zbl 1174.14023) Full Text: DOI arXiv
Gerasimov, Anton; Lebedev, Dimitri; Oblezin, Sergey On Baxter \({\mathcal Q}\)-operators and their arithmetic implications. (English) Zbl 1171.81009 Lett. Math. Phys. 88, No. 1-3, 3-30 (2009). MSC: 81R12 81R50 39A13 11M06 11M36 17B37 37K10 PDFBibTeX XMLCite \textit{A. Gerasimov} et al., Lett. Math. Phys. 88, No. 1--3, 3--30 (2009; Zbl 1171.81009) Full Text: DOI arXiv
Gerasimov, A.; Lebedev, D.; Oblezin, S. Baxter operator and archimedean Hecke algebra. (English) Zbl 1163.17010 Commun. Math. Phys. 284, No. 3, 867-896 (2008). MSC: 17B10 20C08 22E60 33C80 81R12 82B23 PDFBibTeX XMLCite \textit{A. Gerasimov} et al., Commun. Math. Phys. 284, No. 3, 867--896 (2008; Zbl 1163.17010) Full Text: DOI arXiv
Zheglov, A. B.; Osipov, D. V. On some questions related to the Krichever correspondence. (English. Russian original) Zbl 1134.14023 Math. Notes 81, No. 4, 467-476 (2007); translation from Mat. Zametki 81, No. 4, 528-539 (2007). Reviewer: Francisco José Plaza Martín (Salamanca) MSC: 14H70 12E15 PDFBibTeX XMLCite \textit{A. B. Zheglov} and \textit{D. V. Osipov}, Math. Notes 81, No. 4, 467--476 (2007; Zbl 1134.14023); translation from Mat. Zametki 81, No. 4, 528--539 (2007) Full Text: DOI arXiv
Kapranov, M. Double affine Hecke algebras and \(2\)-dimensional local fields. (English) Zbl 0958.20005 J. Am. Math. Soc. 14, No. 1, 239-262 (2001). Reviewer: A.Khammash (Makkah) MSC: 20C08 43A80 20G25 22E50 PDFBibTeX XMLCite \textit{M. Kapranov}, J. Am. Math. Soc. 14, No. 1, 239--262 (2001; Zbl 0958.20005) Full Text: DOI arXiv
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
Vostokov, S. V.; Kirillov, A. N. Norm pairing in a two-dimensional local field. (English) Zbl 0566.12006 J. Sov. Math. 30, 1847-1853 (1985). MSC: 11S31 11S70 12J25 12G05 18F25 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{A. N. Kirillov}, J. Sov. Math. 30, 1847--1853 (1985; Zbl 0566.12006) Full Text: DOI