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Found 53 Documents (Results 1–53)

Higher criteria for the regularity of a one-dimensional local field. (English. Russian original) Zbl 1514.11076

Vestn. St. Petersbg. Univ., Math. 55, No. 2, 154-165 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 230-245 (2022).
MSC:  11S31
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Degree of irregularity and regular formal modules in local fields. (English. Russian original) Zbl 1462.11110

Vestn. St. Petersbg. Univ., Math. 53, No. 4, 398-403 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 588-596 (2020).
MSC:  11S31 11S15
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Formal groups over sub-rings of the ring of integers of a multidimensional local field. (English. Russian original) Zbl 1505.11146

Vestn. St. Petersbg. Univ., Math. 52, No. 1, 59-65 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 1, 88-97 (2019).
MSC:  11S31
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Honda formal module in an unramified \(p\)-extension of a local field as a Galois module. (English. Russian original) Zbl 1440.11216

Vestn. St. Petersbg. Univ., Math. 51, No. 4, 317-321 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 541-548 (2018).
MSC:  11S20 14L05
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Explicit constructions and the arithmetic of local number fields. (English. Russian original) Zbl 1433.11130

Vestn. St. Petersbg. Univ., Math. 50, No. 3, 242-264 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 402-435 (2017).
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Hilbert pairing on Lorentz formal groups. (English. Russian original) Zbl 1427.11132

Vestn. St. Petersbg. Univ., Math. 50, No. 2, 117-121 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 2, 201-207 (2017).
MSC:  11S31 11S70
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Regular formal modules in one-dimensional local fields. (English. Russian original) Zbl 1409.11105

Vestn. St. Petersbg. Univ., Math. 49, No. 4, 313-319 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 544-551 (2016).
MSC:  11S15 11S31
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The skew-symmetric pairing on the Lubin-Tate formal module. (English) Zbl 1388.11079

Dieulefait, Luis (ed.) et al., Arithmetic and geometry. Proceedings of the research conference of the trimester, Bonn, Germany, April 15–19, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-46254-0/pbk; 978-1-316-10687-7/ebook). London Mathematical Society Lecture Note Series 420, 255-263 (2015).
MSC:  11S31 11G07
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The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. (English. Russian original) Zbl 1302.11093

J. Math. Sci., New York 192, No. 2, 137-153 (2013); translation from Zap. Nauchn. Sem. POMI 400, 20-49 (2012).
MSC:  11S31 11S70
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Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification. (Russian, English) Zbl 1127.14042

Zap. Nauchn. Semin. POMI 338, 125-136 (2006); translation in J. Math. Sci., New York 145, No. 1, 4765-4772 (2007).
MSC:  14L05 11S31
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Distinguished isogenies for formal groups in local fields with small ramification. (Russian, English) Zbl 1146.11060

Zap. Nauchn. Semin. POMI 330, 93-100 (2006); translation in J. Math. Sci., New York 140, No. 5, 655-659 (2006).
MSC:  11S31 14L05
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The Hilbert pairing for formal groups over \(\sigma\)-rings. (Russian, English) Zbl 1105.14061

Zap. Nauchn. Semin. POMI 319, 5-58 (2004); translation in J. Math. Sci., New York 134, No. 6, 2445-2476 (2006).
MSC:  14L05 11S99
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Honda groups and explicit pairings on the modules of Cartier curves. (English) Zbl 1025.11037

Vostokov, S. (ed.) et al., Algebraic number theory and algebraic geometry. Papers dedicated to A. N. Parshin on the occasion of his sixtieth birthday. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 300, 143-170 (2002).
Reviewer: H.Koch (Berlin)
MSC:  11S31 14L05
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Local fields and their extensions. 2nd ed. (English) Zbl 1156.11046

Translations of Mathematical Monographs 121. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3259-X/hbk). xi, 345 p. (2002).
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Explicit formulas for the Hilbert symbol. (English) Zbl 1008.11053

Fesenko, Ivan (ed.) et al., Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29-September 5, 1999. Coventry: Geometry and Topology Publications, Geom. Topol. Monogr. 3, 81-89 (2000).
MSC:  11S31 11S70
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Explicit pairing and the class field theory of multidimensional complete fields. (English. Russian original) Zbl 1103.11307

St. Petersbg. Math. J. 11, No. 4, 611-624 (2000); translation from Algebra Anal. 11, No. 4, 95-114 (1999).
MSC:  11S31 11S70 19F05
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Decomposition of ideals in abelian \(p\)-extensions of complete discrete valuation fields. (English. Russian original) Zbl 0949.11059

J. Math. Sci., New York 95, No. 2, 2058-2064 (1999); translation from Zap. Nauchn. Semin. POMI 236, 23-33 (1997).
MSC:  11S15 11R33
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Hilbert pairing on a complete high-dimensional field. (English. Russian original) Zbl 0895.11050

Proc. Steklov Inst. Math. 208, 72-83 (1995); translation from Tr. Mat. Inst. Steklova 208, 80-92 (1995).
MSC:  11S31
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The pairing on \(K\)-groups in fields of valuation of rank \(n\). (English) Zbl 0873.11064

Ladyzhenskaya, O. A. (ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. III. Transl. ed. by A. B. Sosinsky. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 166, 111-148 (1995).
MSC:  11S70 11S31 19F05
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Galois representations in Honda’s formal groups. Arithmetic of the group of points. (English) Zbl 0817.11053

Ladyzhenskaya, O. A. (ed.), Proceedings of the St. Petersburg Mathematical Society. Volume II. Transl. ed. by Simeon Ivanov. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 159, 1-14 (1994).
MSC:  11S31 11S20 14L05
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Local fields and their extensions: a constructive approach. Translated from an original Russian manuscript by Ivan B. Fesenko; translation edited by Simeon Ivanov. (English) Zbl 0781.11042

Translations of Mathematical Monographs. 121. Providence, RI: American Mathematical Society (AMS). xv, 283 p. (1993).
Reviewer: H.Koch (Berlin)
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On the Seminar “Constructive class field theory”. (English. Russian original) Zbl 0806.11003

St. Petersbg. Math. J. 4, No. 1, 175-192 (1993); translation from Algebra Anal. 4, No. 1, 177-193 (1992).
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Explicit construction of class field theory for a multidimensional local field. (English. Russian original) Zbl 0608.12017

Math. USSR, Izv. 26, 263-287 (1986); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 2, 283-308 (1985).
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