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Found 94 Documents (Results 1–94)

Smooth weight structures and birationality filtrations on motivic categories. (English. Russian original) Zbl 1499.14043

St. Petersbg. Math. J. 33, No. 5, 777-796 (2022); translation from Algebra Anal. 33, No. 5, 51-79 (2021).
MSC:  14F42 14C15 18C40
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On Chow-weight homology of motivic complexes and its relation to motivic homology. (English. Russian original) Zbl 1460.19005

Vestn. St. Petersbg. Univ., Math. 53, No. 4, 377-397 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 560-587 (2020).
MSC:  19E15 14F42 19D55
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On Chow-pure cohomology and Euler characteristics for motives and varieties, and their relation to unramified cohomology and Brauer groups. arXiv:2003.10415

Preprint, arXiv:2003.10415 [math.AG] (2020).
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On torsion theories, weight and \(t\)-structures in triangulated categories. (English. Russian original) Zbl 1429.18005

Vestn. St. Petersbg. Univ., Math. 52, No. 1, 19-29 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 1, 27-43 (2019).
MSC:  18G80
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On Chow weight structures without projectivity and resolution of singularities. (English. Russian original) Zbl 1423.14030

St. Petersbg. Math. J. 30, No. 5, 803-819 (2019); translation from Algebra Anal. 30, No. 5, 57-83 (2018).
MSC:  14C15 14F42 18E30 14C35
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Gersten weight structures for motivic homotopy categories; retracts of cohomology of function fields, motivic dimensions, and coniveau spectral sequences. arXiv:1803.01432

Preprint, arXiv:1803.01432 [math.AG] (2018).
MSC:  14F42 18G20 55P42 14C15 18G40 18G55 19D25 19E15 18E30
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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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An explicit form of the Hilbert symbol for polynomial formal groups over a multidimensional local field. I. (English. Russian original) Zbl 1369.11082

J. Math. Sci., New York 219, No. 3, 370-374 (2016); translation from Zap. Nauchn. Semin. POMI 430, 53-60 (2014).
MSC:  11S31 14L05
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To the anniversary of Sergei Vladimirovich Vostokov. (English. Russian original) Zbl 1346.01020

St. Petersbg. Math. J. 27, No. 6, 861-862 (2016); translation from Algebra Anal. 27, No. 6, 3-5 (2015).
MSC:  01A70
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Detecting effectivity of motives, their weights, connectivity, and dimension via Chow-weight (co)homology: a ”mixed motivic decomposition of the diagonal”. arXiv:1411.6354

Preprint, arXiv:1411.6354 [math.AG] (2014).
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Gersten weight structures for motivic homotopy categories; direct summands of cohomology of function fields and coniveau spectral sequences. arXiv:1312.7493

Preprint, arXiv:1312.7493 [math.AG] (2013).
MSC:  14F42 55P42 14C15 18G40 18G55 19D25 19E15 18E30
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Anatolii Vladimirovich Yakovlev (on the occasion of his 70th birthday). (English. Russian original) Zbl 1253.01020

Vestn. St. Petersbg. Univ., Math. 43, No. 1, 1-2 (2010); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2010, No. 1, 3-5 (2010).
MSC:  01A70
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Weights and t-structures: in general triangulated categories, for 1-motives, mixed motives, and for mixed Hodge complexes and modules. arXiv:1011.3507

Preprint, arXiv:1011.3507 [math.AG] (2010).
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Weight structures and motives; comotives, coniveau and Chow-weight spectral sequences, and mixed complexes of sheaves: a survey. arXiv:0903.0091

Preprint, arXiv:0903.0091 [math.AG] (2009).
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Leopoldt’s problem for abelian totally ramified extensions of complete discrete valuation fields. (English. Russian original) Zbl 1214.12005

St. Petersbg. Math. J. 18, No. 5, 757-778 (2007); translation from Algebra Anal. 18, No. 5, 99-129 (2006).
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Classification of finite commutative group schemes over complete discrete valuation rings; the tangent space and semistable reduction of Abelian varieties. (English. Russian original) Zbl 1141.14027

St. Petersbg. Math. J. 18, No. 5, 737-755 (2007); translation from Algebra Anal. 18, No. 5, 72-98 (2006).
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Formal groups over local fields: a constructive approach. (English) Zbl 1129.14060

Young, Nicholas (ed.), Surveys in geometry and number theory. Reports on contemporary Russian mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-69182-6/pbk). London Mathematical Society Lecture Note Series 338, 52-87 (2007).
MSC:  14L05 11S31
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Explicit classification of formal groups over complete discrete valuation fields with imperfect residue field. (English) Zbl 1143.14308

Uraltseva, N.N.(ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. XI. Transl. from the Russian. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4204-8/hbk). Transl., Ser. 2, Am. Math. Soc. 218, 1-29 (2006); translation from Tr. St-Petersb. Mat. Obshch. 11, 1-35 (2005).
MSC:  14L05 11S31
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The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of abelian varieties. (English. Russian original) Zbl 1136.14033

Izv. Math. 70, No. 4, 661-691 (2006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 70, No. 4, 21-52 (2006).
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Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of abelian varieties. (English) Zbl 1098.14034

Tschinkel, Yuri (ed.), Mathematisches Institut, Georg-August-Universität Göttingen: Seminars Winter Term 2004/2005. Lecture notes from the seminars “Number theory”, “Algebraic geometry” and “Twisted cohomology theories” held at the University of Göttingen, Göttingen, Germany, 2004. Göttingen: Universitätsdrucke Göttingen (ISBN 3-938616-17-2/pbk). 99-108 (2005).
MSC:  14L15
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Restriction of the scalars for formal groups. (Russian, English) Zbl 1105.14062

Zap. Nauchn. Semin. POMI 319, 59-70 (2004); translation in J. Math. Sci., New York 134, No. 6, 2477-2482 (2006).
MSC:  14L05 11S99
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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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Finite flat commutative group schemes over complete discrete valuation rings III: classification, tangent spaces, and semistable reduction of Abelian varieties. arXiv:math/0412521

Preprint, arXiv:math/0412521 [math.AG] (2004).
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Necessary and sufficient conditions for the passivability of linear distributed systems. (English. Russian original) Zbl 1082.93053

Autom. Remote Control 64, No. 4, 517-530 (2003); translation from Avtom. Telemekh. 2003, No. 4, 3-17 (2003).
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An explicit classification of formal groups over local fields. (English. Russian original) Zbl 1125.11357

Proc. Steklov Inst. Math. 241, 35-57 (2003); translation from Tr. Mat. Inst. Im. V. A. Steklova 241, 43-67 (2003).
MSC:  11S31 14L05
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Ideals in an extension of a number field as modules over the ring of integers in a ground field. (English) Zbl 1060.11064

Heath-Brown, D. R. (ed.) et al., Proceedings of the session in analytic number theory and Diophantine equations held in Bonn, Germany, January–June, 2002. Bonn: Univ. Bonn, Mathematisches Institut. Bonner Mathematische Schriften 360, 3 p. (2003).
Reviewer: B. Z. Moroz (Bonn)
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Local Leopoldt’s problem for ideals in totally ramified \(p\)-extensions of complete discrete valuation fields. (English) Zbl 1026.11088

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, 27-57 (2002).
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Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic. (English. Russian original) Zbl 1247.11145

Transl., Ser. 2, Am. Math. Soc. 199, 117-125 (2000); translation from St-Peterbg. Mat. Obshch. 6, 141-150 (1998).
MSC:  11S15
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Additive Galois modules in Dedekind rings. Decomposability. (English. Russian original) Zbl 0973.11098

St. Petersbg. Math. J. 11, No. 6, 1019-1033 (2000); translation from Algebra Anal. 11, No. 6, 103-121 (2000).
MSC:  11S15 11S20 12F10
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Idempotents in the endomorphism ring of an ideal in a \(p\)-extension of a complete, discrete valuation field with residue field of characteristic \(p\) as a Galois module. (English. Russian original) Zbl 1041.11080

J. Math. Sci., New York 112, No. 3, 4255-4258 (2002); translation from Zap. Nauchn. Semin. POMI 265, Pt. I, 22-28 (1999).
MSC:  11S15 11R33
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Decomposability of ideals as Galois modules in complete discrete valuation fields. (English. Russian original) Zbl 0964.11054

St. Petersbg. Math. J. 11, No. 2, 233-249 (2000); translation from Algebra Anal. 11, No. 2, 41-63 (1999).
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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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Adaptive stabilization of nonminimum-phase objects with unknown lag. (English. Russian original) Zbl 0837.93066

J. Comput. Syst. Sci. Int. 32, No. 4, 82-88 (1994); translation from Izv. Ross. Akad. Nauk, Tekh. Kibern. 1992, No. 6, 77-83 (1992).
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Design of an adaptive system for stabilizing a linear object with distributed parameters. (English. Russian original) Zbl 0485.93048

Autom. Remote Control 40, 1785-1792 (1980); translation from Avtom. Telemekh. 1979, No. 12, 95-103 (1979).
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