## Osipov, Denis Vasil’evich

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 Author ID: osipov.denis-v Published as: Osipov, D. V.; Osipov, Denis V.; Osipov, Denis more...less External Links: ORCID · arXiv · Math-Net.Ru
 Documents Indexed: 36 Publications since 1997 Co-Authors: 12 Co-Authors with 21 Joint Publications 586 Co-Co-Authors
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### Co-Authors

 15 single-authored 8 Gorchinskiĭ, Sergeĭ Olegovich 7 Zheglov, Alexander B. 5 Parshin, Alexei N. 3 Kurke, Herbert 2 Zhu, Xinwen 1 Nesterenko, Yuriĭ Valentinovich 1 Orlov, Dmitri O. 1 Popov, Vladimir Leonidovich 1 Sergeev, Armen Glebovich 1 Shafarevich, Igor’ Rostislavovich 1 Vostokov, Sergeĭ Vladimirovich 1 Zarkhin, Yuriĭ Gennad’evich
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### Serials

 6 Sbornik: Mathematics 5 Russian Mathematical Surveys 5 Izvestiya: Mathematics 3 Doklady Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Mathematical Notes 2 International Journal of Mathematics 1 Functional Analysis and its Applications 1 Journal für die Reine und Angewandte Mathematik 1 Siberian Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Journal of Algebraic Geometry 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Algebra & Number Theory
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### Fields

 22 Algebraic geometry (14-XX) 15 Number theory (11-XX) 11 $$K$$-theory (19-XX) 7 Dynamical systems and ergodic theory (37-XX) 4 Category theory; homological algebra (18-XX) 3 Abstract harmonic analysis (43-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 152 times in 64 Documents Cited by Year
A higher-dimensional Contou-Carrère symbol: local theory. Zbl 1337.19004
Gorchinskiy, S. O.; Osipov, D. V.
2015
Harmonic analysis on local fields and adelic spaces. II. Zbl 1232.11122
Osipov, D. V.; Parshin, A. N.
2011
$$n$$-dimensional local fields and adeles on $$n$$-dimensional schemes. Zbl 1144.11078
Osipov, Denis V.
2008
A categorical proof of the Parshin reciprocity laws on algebraic surfaces. Zbl 1237.19007
Osipov, Denis; Zhu, Xinwen
2011
Higher-dimensional Contou-Carrère symbol and continuous automorphisms. Zbl 1360.19005
Gorchinskiy, S. O.; Osipov, D. V.
2016
Commuting differential operators and higher-dimensional algebraic varieties. Zbl 1306.37077
Kurke, Herbert; Osipov, Denis; Zheglov, Alexander
2014
Explicit formula for the higher-dimensional Contou-Carrère symbol. Zbl 1328.19003
Gorchinskiy, S. O.; Osipov, D. V.
2015
Continuous homomorphisms between algebras of iterated Laurent series over a ring. Zbl 1359.13023
Gorchinskiy, Sergey O.; Osipov, Denis V.
2016
Harmonic analysis on local fields and adelic spaces. I. Zbl 1222.11137
Osipov, D. V.; Parshin, A. N.
2008
Adeles on $$n$$-dimensional schemes and categories $$C_{n}$$. Zbl 1126.14004
Osipov, Denis
2007
The two-dimensional Contou-Carrère symbol and reciprocity laws. Zbl 1346.19003
Osipov, Denis; Zhu, Xinwen
2016
Krichever correspondence for algebraic varieties. Zbl 1068.14053
Osipov, D. V.
2001
Tangent space to Milnor $$K$$-groups of rings. Zbl 1334.19003
Gorchinskiy, S. O.; Osipov, D. V.
2015
Adele constructions of direct images of differentials and symbols. Zbl 0909.14011
Osipov, D. V.
1997
Central extensions and reciprocity laws on algebraic surfaces. Zbl 1177.14083
Osipov, D. V.
2005
Harmonic analysis and the Riemann-Roch theorem. Zbl 1350.14015
Osipov, D. V.; Parshin, A. N.
2011
The discrete Heisenberg group and its automorphism group. Zbl 1332.22013
Osipov, D. V.
2015
On first integrals of linear Hamiltonian systems. Zbl 1408.37099
Zheglov, A. B.; Osipov, D. V.
2018
On some questions related to the Krichever correspondence. Zbl 1134.14023
Zheglov, A. B.; Osipov, D. V.
2007
Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. Zbl 1377.11121
Osipov, D. V.; Parshin, A. N.
2016
Lax pairs for linear Hamiltonian systems. Zbl 1427.37046
Zheglov, A. B.; Osipov, D. V.
2019
Formal punctured ribbons and two-dimensional local fields. Zbl 1168.14002
Kurke, Herbert; Osipov, Denis; Zheglov, Alexander
2009
Formal groups arising from formal punctured ribbons. Zbl 1203.14012
Kurke, Herbert; Osipov, Denis V.; Zheglov, Alexander B.
2010
Arithmetic surfaces and adelic quotient groups. Zbl 1441.11286
Osipov, D. V.
2018
Second Chern numbers of vector bundles and higher adeles. Zbl 1397.14056
Osipov, Denis V.
2017
The infinite-dimensional Sato Grassmannian and coherent sheaves of rank 2 on curves. Zbl 1073.14047
Osipov, D. V.
2003
Lax pairs for linear Hamiltonian systems. Zbl 1427.37046
Zheglov, A. B.; Osipov, D. V.
2019
On first integrals of linear Hamiltonian systems. Zbl 1408.37099
Zheglov, A. B.; Osipov, D. V.
2018
Arithmetic surfaces and adelic quotient groups. Zbl 1441.11286
Osipov, D. V.
2018
Second Chern numbers of vector bundles and higher adeles. Zbl 1397.14056
Osipov, Denis V.
2017
Higher-dimensional Contou-Carrère symbol and continuous automorphisms. Zbl 1360.19005
Gorchinskiy, S. O.; Osipov, D. V.
2016
Continuous homomorphisms between algebras of iterated Laurent series over a ring. Zbl 1359.13023
Gorchinskiy, Sergey O.; Osipov, Denis V.
2016
The two-dimensional Contou-Carrère symbol and reciprocity laws. Zbl 1346.19003
Osipov, Denis; Zhu, Xinwen
2016
Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. Zbl 1377.11121
Osipov, D. V.; Parshin, A. N.
2016
A higher-dimensional Contou-Carrère symbol: local theory. Zbl 1337.19004
Gorchinskiy, S. O.; Osipov, D. V.
2015
Explicit formula for the higher-dimensional Contou-Carrère symbol. Zbl 1328.19003
Gorchinskiy, S. O.; Osipov, D. V.
2015
Tangent space to Milnor $$K$$-groups of rings. Zbl 1334.19003
Gorchinskiy, S. O.; Osipov, D. V.
2015
The discrete Heisenberg group and its automorphism group. Zbl 1332.22013
Osipov, D. V.
2015
Commuting differential operators and higher-dimensional algebraic varieties. Zbl 1306.37077
Kurke, Herbert; Osipov, Denis; Zheglov, Alexander
2014
Harmonic analysis on local fields and adelic spaces. II. Zbl 1232.11122
Osipov, D. V.; Parshin, A. N.
2011
A categorical proof of the Parshin reciprocity laws on algebraic surfaces. Zbl 1237.19007
Osipov, Denis; Zhu, Xinwen
2011
Harmonic analysis and the Riemann-Roch theorem. Zbl 1350.14015
Osipov, D. V.; Parshin, A. N.
2011
Formal groups arising from formal punctured ribbons. Zbl 1203.14012
Kurke, Herbert; Osipov, Denis V.; Zheglov, Alexander B.
2010
Formal punctured ribbons and two-dimensional local fields. Zbl 1168.14002
Kurke, Herbert; Osipov, Denis; Zheglov, Alexander
2009
$$n$$-dimensional local fields and adeles on $$n$$-dimensional schemes. Zbl 1144.11078
Osipov, Denis V.
2008
Harmonic analysis on local fields and adelic spaces. I. Zbl 1222.11137
Osipov, D. V.; Parshin, A. N.
2008
Adeles on $$n$$-dimensional schemes and categories $$C_{n}$$. Zbl 1126.14004
Osipov, Denis
2007
On some questions related to the Krichever correspondence. Zbl 1134.14023
Zheglov, A. B.; Osipov, D. V.
2007
Central extensions and reciprocity laws on algebraic surfaces. Zbl 1177.14083
Osipov, D. V.
2005
The infinite-dimensional Sato Grassmannian and coherent sheaves of rank 2 on curves. Zbl 1073.14047
Osipov, D. V.
2003
Krichever correspondence for algebraic varieties. Zbl 1068.14053
Osipov, D. V.
2001
Adele constructions of direct images of differentials and symbols. Zbl 0909.14011
Osipov, D. V.
1997
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### Cited by 63 Authors

 19 Osipov, Denis Vasil’evich 9 Gorchinskiĭ, Sergeĭ Olegovich 9 Zheglov, Alexander B. 5 Parshin, Alexei N. 4 Bräunling, Oliver 3 Gröchenig, Michael 3 Liu, Dongwen 3 Wolfson, Jesse 2 Heleodoro, Aron 2 Pappas, Georgios 2 Przhiyalkovskiĭ, Viktor Vladimirovich 2 Zhu, Xinwen 1 Burban, Igor 1 Cámara, Alberto 1 Casimiro, Ana Cristina 1 Chen, Tsao-Hsien 1 Chinburg, Ted 1 Contou-Carrere, Carlos Enrique 1 Faonte, Giovanni 1 Feigin, Misha V. 1 Hennion, Benjamin 1 Horozov, Ivan Emilov 1 İkeda, Kâzım İlhan 1 Jibladze, Mamuka A. 1 Kaledin, Dmitry B. 1 Kapranov, Mikhail M. 1 Kerr, Matthew 1 Kozlov, Valeriĭ Vasil’evich 1 Krekov, Dmitriĭ M. 1 Kulikov, Viktor Stepanovich 1 Kurke, Herbert 1 Lee, Jong Bum 1 Lee, Sang Rae 1 Levi, Decio 1 Mazel-Gee, Aaron 1 Mironov, Andreĭ Evgen’evich 1 Mundet i Riera, Ignasi 1 Muñoz Porras, José María 1 Nakayashiki, Atsushi 1 Nejabati Zenouz, Kayvan 1 Nesterenko, Yuriĭ Valentinovich 1 Orlov, Dmitri O. 1 Pablos Romo, Fernando 1 Pál, Ambrus 1 Peterson, Eric D. 1 Pirashvili, Teimuraz 1 Plaza Martín, Francisco José 1 Pogorelov, D. A. 1 Popov, Vladimir Leonidovich 1 Previdi, Luigi 1 Rezvyakova, Irina S. 1 Serbest, Erol 1 Sergeev, Armen Glebovich 1 Shafarevich, Igor’ Rostislavovich 1 Shramov, Konstantin Aleksandrovich 1 Stapleton, Nathaniel 1 Talalaev, Dmitry V. 1 Taylor, Martin J. 1 Tyurin, Dimitrii N. 1 Vostokov, Sergeĭ Vladimirovich 1 Yamilov, Ravil’ Islamovich 1 Zarkhin, Yuriĭ Gennad’evich 1 Zhu, Yongchang
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### Cited in 37 Serials

 6 Russian Mathematical Surveys 5 Advances in Mathematics 4 Sbornik: Mathematics 4 Proceedings of the Steklov Institute of Mathematics 3 Mathematical Notes 3 St. Petersburg Mathematical Journal 3 Izvestiya: Mathematics 2 Journal of Algebra 2 Bulletin of the Korean Mathematical Society 2 International Journal of Mathematics 2 Selecta Mathematica. New Series 2 Doklady Mathematics 1 Communications in Mathematical Physics 1 Journal of Geometry and Physics 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Journal of Algebraic Geometry 1 Russian Journal of Mathematical Physics 1 Theory and Applications of Categories 1 Communications of the Korean Mathematical Society 1 Lobachevskii Journal of Mathematics 1 Algebraic & Geometric Topology 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of $$K$$-Theory 1 Research in the Mathematical Sciences 1 Transactions of the American Mathematical Society. Series B
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### Cited in 29 Fields

 34 Algebraic geometry (14-XX) 17 Number theory (11-XX) 16 $$K$$-theory (19-XX) 11 Commutative algebra (13-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Category theory; homological algebra (18-XX) 4 Ordinary differential equations (34-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)