Edit Profile (opens in new tab) Gorchinskiĭ, Sergeĭ Olegovich Co-Author Distance Author ID: gorchinskiy.sergey-o Published as: Gorchinskiy, Sergey; Gorchinskiy, S. O.; Gorchinskii, S. O.; Gorchinskiy, S.; Gorchinskiy, Sergey O.; Gorchinskiĭ, S. O.; Gorchinskiĭ, Sergeĭ O.; Gorchinskiy, Sergeĭ O. more...less Further Spellings: Горчинский Сергей Олегович Homepage: https://www.hse.ru/en/org/persons/26334977 External Links: ResearchGate · Math-Net.Ru Documents Indexed: 42 Publications since 2005, including 1 Book and 1 Additional arXiv Preprint Co-Authors: 40 Co-Authors with 34 Joint Publications 1,594 Co-Co-Authors all top 5 Co-Authors 8 single-authored 11 Osipov, Denis Vasil’evich 6 Guletskiǐ, Vladimir 4 Orlov, Dmitri O. 4 Parshin, Alekseĭ Nikolaevich 4 Popov, Vladimir Leonidovich 4 Viviani, Filippo 4 Zheglov, Alexander B. 3 Prokhorov, Yuriĭ Gennad’evich 2 Bogomolov, Fedor Alekseivich 2 Cheltsov, Ivan Anatol’evich 2 Kulikov, Viktor Stepanovich 2 Nesterenko, Yuriĭ Valentinovich 2 Ovchinnikov, Alexey Igorevich 2 Sergeev, Armen Glebovich 2 Shramov, Konstantin Aleksandrovich 2 Vostokov, Sergeĭ Vladimirovich 2 Zarkhin, Yuriĭ Gennad’evich 1 Beloshapka, I. V. 1 Bergh, Daniel 1 Birkar, Caucher 1 Budylin, R. Ya. 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Gillet, Henri A. 1 Konyagin, Sergeĭ Vladimirovich 1 Krekov, Dmitriĭ M. 1 Larsen, Michael Jeffrey 1 Lunts, Valery A. 1 Nikulin, Vyacheslav Valentinovich 1 Panin, Ivan A. 1 Platonov, Vladimir Petrovich 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Reid, Miles 1 Rosly, Alexei 1 Shafarevich, Igor’ Rostislavovich 1 Smirnov, Aleksandr Leonidovich 1 Treshchev, Dmitriĭ Valer’evich 1 Tsikh, Avgust Karlovich 1 Tyurin, Dimitrii N. 1 Vershik, Anatoliĭ Moiseevich all top 5 Serials 8 Russian Mathematical Surveys 5 Sbornik: Mathematics 3 Advances in Mathematics 3 Journal of Algebraic Geometry 3 Izvestiya: Mathematics 3 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Notes 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Le Matematiche 1 Mathematische Zeitschrift 1 Bulletin of the Korean Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applied Categorical Structures 1 Central European Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Translations of Mathematical Monographs all top 5 Fields 26 Algebraic geometry (14-XX) 9 \(K\)-theory (19-XX) 8 Commutative algebra (13-XX) 6 Number theory (11-XX) 5 History and biography (01-XX) 5 Group theory and generalizations (20-XX) 4 Category theory; homological algebra (18-XX) 3 Field theory and polynomials (12-XX) 2 Ordinary differential equations (34-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 197 times in 147 Documents Cited by ▼ Year ▼ Parameterized Picard-Vessiot extensions and Atiyah extensions. Zbl 1328.12010 Gillet, Henri; Gorchinskiy, Sergey; Ovchinnikov, Alexey 27 2013 Geometric phantom categories. Zbl 1285.14018 Gorchinskiy, Sergey; Orlov, Dmitri 27 2013 Motives and representability of algebraic cycles on threefolds over a field. Zbl 1256.14007 Gorchinskiy, Sergey; Guletskiĭ, Vladimir 16 2012 A higher-dimensional Contou-Carrère symbol: local theory. Zbl 1337.19004 Gorchinskiy, S. O.; Osipov, D. V. 14 2015 Higher-dimensional Contou-Carrère symbol and continuous automorphisms. Zbl 1360.19005 Gorchinskiy, S. O.; Osipov, D. V. 13 2016 Unramified Brauer group and its applications. Zbl 1423.14002 Gorchinskiy, Sergey; Shramov, Constantin 11 2018 Isomonodromic differential equations and differential categories. Zbl 1332.12011 Gorchinskiy, Sergey; Ovchinnikov, Alexey 10 2014 Explicit formula for the higher-dimensional Contou-Carrère symbol. Zbl 1328.19003 Gorchinskiy, S. O.; Osipov, D. V. 9 2015 Continuous homomorphisms between algebras of iterated Laurent series over a ring. Zbl 1359.13023 Gorchinskiy, Sergey O.; Osipov, Denis V. 8 2016 Symmetric powers in abstract homotopy categories. Zbl 1355.14015 Gorchinskiy, S.; Guletskiĭ, V. 8 2016 Picard group of moduli of hyperelliptic curves. Zbl 1132.14011 Gorchinskiy, Sergey; Viviani, Filippo 7 2008 Tangent space to Milnor \(K\)-groups of rings. Zbl 1334.19003 Gorchinskiy, S. O.; Osipov, D. V. 6 2015 Irreducible representations of finitely generated nilpotent groups. Zbl 1365.43006 Beloshapka, I. V.; Gorchinskiĭ, S. O. 5 2016 Positive model structures for abstract symmetric spectra. Zbl 1390.18017 Gorchinskiy, S.; Guletskiĭ, V. 4 2018 Relative Milnor \(K\)-groups and differential forms of split nilpotent extensions. Zbl 1406.19001 Gorchinskiy, S. O.; Tyurin, D. N. 4 2018 Non-trivial elements in the Abel-Jacobi kernels of higher-dimensional varieties. Zbl 1330.14006 Gorchinskiy, S.; Guletskiĭ, V. 4 2013 A note on families of hyperelliptic curves. Zbl 1172.14315 Gorchinskiy, Sergey; Viviani, Filippo 4 2009 Integral Chow motives of threefolds with \(K\)-motives of unit type. Zbl 1398.14012 Gorchinskiy, Sergey 3 2017 Poincaré biextension and idèles on an algebraic curve. Zbl 1134.14304 Gorchinskii, S. O. 3 2006 Intersections of adelic groups on a surface. Zbl 1297.14029 Budylin, R. Ya.; Gorchinskiy, S. O. 2 2013 Transcendence degree of zero-cycles and the structure of Chow motives. Zbl 1244.14006 Gorchinskiy, Sergey; Guletskiĭ, Vladimir 2 2012 An adelic resolution for homology sheaves. Zbl 1166.14005 Gorchinskii, S. O. 2 2008 Adelic Lefschetz formula for the action of a one-dimensional torus. Zbl 1152.14017 Gorchinskii, S. O.; Parshin, A. N. 2 2006 In memory of Alekseĭ Nikolaevich Parshin. Zbl 1518.01026 Gorchinskiĭ, S. O.; Dobrovol’skiĭ, N. M.; Zheglov, A. B.; Osipov, D. V. 2 2022 Corrigendum to: “Motives and representability of algebraic cycles on threefolds over a field”. Zbl 1316.14019 Gorchinskiy, Sergey; Guletskiĭ, Vladimir 1 2013 Categorical measures for finite group actions. Zbl 1486.14010 Bergh, D.; Gorchinskiy, S.; Larsen, M.; Lunts, V. 1 2021 Iterated Laurent series over rings and the Contou-Carrère symbol. Zbl 1457.19005 Gorchinskiy, Sergeĭ O.; Osipov, Denis V. 1 2020 The higher-dimensional Contou-Carrère symbol and commutative group schemes. Zbl 1457.19004 Gorchinskiĭ, Sergeĭ O.; Osipov, Denis V. 1 2020 In memory of Alekseĭ Nikolaevich Parshin. Zbl 1518.01026 Gorchinskiĭ, S. O.; Dobrovol’skiĭ, N. M.; Zheglov, A. B.; Osipov, D. V. 2 2022 Categorical measures for finite group actions. Zbl 1486.14010 Bergh, D.; Gorchinskiy, S.; Larsen, M.; Lunts, V. 1 2021 Iterated Laurent series over rings and the Contou-Carrère symbol. Zbl 1457.19005 Gorchinskiy, Sergeĭ O.; Osipov, Denis V. 1 2020 The higher-dimensional Contou-Carrère symbol and commutative group schemes. Zbl 1457.19004 Gorchinskiĭ, Sergeĭ O.; Osipov, Denis V. 1 2020 Unramified Brauer group and its applications. Zbl 1423.14002 Gorchinskiy, Sergey; Shramov, Constantin 11 2018 Positive model structures for abstract symmetric spectra. Zbl 1390.18017 Gorchinskiy, S.; Guletskiĭ, V. 4 2018 Relative Milnor \(K\)-groups and differential forms of split nilpotent extensions. Zbl 1406.19001 Gorchinskiy, S. O.; Tyurin, D. N. 4 2018 Integral Chow motives of threefolds with \(K\)-motives of unit type. Zbl 1398.14012 Gorchinskiy, Sergey 3 2017 Higher-dimensional Contou-Carrère symbol and continuous automorphisms. Zbl 1360.19005 Gorchinskiy, S. O.; Osipov, D. V. 13 2016 Continuous homomorphisms between algebras of iterated Laurent series over a ring. Zbl 1359.13023 Gorchinskiy, Sergey O.; Osipov, Denis V. 8 2016 Symmetric powers in abstract homotopy categories. Zbl 1355.14015 Gorchinskiy, S.; Guletskiĭ, V. 8 2016 Irreducible representations of finitely generated nilpotent groups. Zbl 1365.43006 Beloshapka, I. V.; Gorchinskiĭ, S. O. 5 2016 A higher-dimensional Contou-Carrère symbol: local theory. Zbl 1337.19004 Gorchinskiy, S. O.; Osipov, D. V. 14 2015 Explicit formula for the higher-dimensional Contou-Carrère symbol. Zbl 1328.19003 Gorchinskiy, S. O.; Osipov, D. V. 9 2015 Tangent space to Milnor \(K\)-groups of rings. Zbl 1334.19003 Gorchinskiy, S. O.; Osipov, D. V. 6 2015 Isomonodromic differential equations and differential categories. Zbl 1332.12011 Gorchinskiy, Sergey; Ovchinnikov, Alexey 10 2014 Parameterized Picard-Vessiot extensions and Atiyah extensions. Zbl 1328.12010 Gillet, Henri; Gorchinskiy, Sergey; Ovchinnikov, Alexey 27 2013 Geometric phantom categories. Zbl 1285.14018 Gorchinskiy, Sergey; Orlov, Dmitri 27 2013 Non-trivial elements in the Abel-Jacobi kernels of higher-dimensional varieties. Zbl 1330.14006 Gorchinskiy, S.; Guletskiĭ, V. 4 2013 Intersections of adelic groups on a surface. Zbl 1297.14029 Budylin, R. Ya.; Gorchinskiy, S. O. 2 2013 Corrigendum to: “Motives and representability of algebraic cycles on threefolds over a field”. Zbl 1316.14019 Gorchinskiy, Sergey; Guletskiĭ, Vladimir 1 2013 Motives and representability of algebraic cycles on threefolds over a field. Zbl 1256.14007 Gorchinskiy, Sergey; Guletskiĭ, Vladimir 16 2012 Transcendence degree of zero-cycles and the structure of Chow motives. Zbl 1244.14006 Gorchinskiy, Sergey; Guletskiĭ, Vladimir 2 2012 A note on families of hyperelliptic curves. Zbl 1172.14315 Gorchinskiy, Sergey; Viviani, Filippo 4 2009 Picard group of moduli of hyperelliptic curves. Zbl 1132.14011 Gorchinskiy, Sergey; Viviani, Filippo 7 2008 An adelic resolution for homology sheaves. Zbl 1166.14005 Gorchinskii, S. O. 2 2008 Poincaré biextension and idèles on an algebraic curve. Zbl 1134.14304 Gorchinskii, S. O. 3 2006 Adelic Lefschetz formula for the action of a one-dimensional torus. Zbl 1152.14017 Gorchinskii, S. O.; Parshin, A. N. 2 2006 all cited Publications top 5 cited Publications all top 5 Cited by 143 Authors 20 Gorchinskiĭ, Sergeĭ Olegovich 11 Osipov, Denis Vasil’evich 8 Ovchinnikov, Alexey Igorevich 7 Guletskiǐ, Vladimir 6 Shramov, Konstantin Aleksandrovich 5 Vial, Charles 4 Arreche, Carlos E. 4 Hardouin, Charlotte 4 Orlov, Dmitri O. 4 Pillay, Anand 4 Przhiyalkovskiĭ, Viktor Vladimirovich 3 Bachmayr, Annette 3 Bernardara, Marcello 3 Crespo Vicente, Teresa 3 Di Vizio, Lucia 3 Hajto, Zbigniew 3 Lee, Kyoung-Seog 3 León Sánchez, Omar 3 Minchenko, Andrei 3 Minchenko, Andrey 3 Singer, Michael F. 3 Sosna, Pawel 3 Tabuada, Gonçalo 2 Adamus, Elżbieta 2 Böhning, Christian 2 Bräunling, Oliver 2 Brouette, Quentin 2 Di Lorenzo, Andrea 2 Diaz, Humberto A. 2 Fu, Lie 2 Graf von Bothmer, Hans-Christian 2 Gröchenig, Michael 2 Katzarkov, Ludmil 2 Laterveer, Robert 2 Parshin, Alekseĭ Nikolaevich 2 Pirisi, Roberto 2 Point, Françoise 2 Raedschelders, Theo 2 Trepalin, Andrey S. 2 Tyurin, Dimitrii N. 2 Viviani, Filippo 2 Wibmer, Michael 2 Wolfson, Jesse 2 Zheglov, Alexander B. 1 Abuaf, Roland 1 Alexeev, Valery A. 1 Alfonsi, Luigi 1 Asgarli, Shamil 1 Auel, Asher Natan 1 Banerjee, Kalyan 1 Barrero, Miguel 1 Bayındır, Haldun Özgür 1 Beaudry, Agnès 1 Belmans, Pieter 1 Bergh, Daniel 1 Bini, Gilberto 1 Blázquez-Sanz, David 1 Bolognesi, Michele 1 Bondarko, Mikhail Vladimirovich 1 Bülles, Tim-Henrik 1 Casale, Guy 1 Chorny, Boris 1 Colliot-Thélène, Jean-Louis 1 Cornalba, Maurizio 1 Cousins, Greg 1 Demidov, Sergeĭ Sergeevich 1 Díaz Arboleda, Juan Sebastián 1 Dreyfus, Thomas 1 Fonarev, Anton 1 Fringuelli, Roberto 1 Fulghesu, Damiano 1 Galkin, Sergeĭ 1 Gillet, Henri A. 1 Granier, Anne 1 Harbater, David 1 Hartmann, Julia 1 Hatui, Sumana 1 Hebestreit, Fabian 1 Hess, Kathryn P. 1 Hornbostel, Jens 1 Huybrechts, Daniel 1 Inchiostro, Giovanni 1 Iritani, Hiroshi 1 Kahn, Bruno 1 Kaledin, Dmitry B. 1 Kapustka, Grzegorz 1 Kapustka, Michał 1 Kȩdziorek, Magdalena 1 Kim, Hyun Kyu 1 Kim, Yun-Hwan 1 Koshelev, Dmitriĭ Igorevich 1 Krah, Johannes 1 Krekov, Dmitriĭ M. 1 Kundu, Promit 1 Kuznetsov, Aleksandr Gennad’evich 1 Larsen, Michael Jeffrey 1 Lazarev, Oleg 1 Lenz, Tobias 1 Lercier, Reynald 1 Levi, Decio ...and 43 more Authors all top 5 Cited in 67 Serials 12 Advances in Mathematics 9 Journal of Algebra 7 Sbornik: Mathematics 6 Russian Mathematical Surveys 6 Proceedings of the Steklov Institute of Mathematics 5 Journal of Pure and Applied Algebra 5 European Journal of Mathematics 4 Communications in Algebra 4 Izvestiya: Mathematics 4 Algebraic & Geometric Topology 3 Mathematical Notes 3 Proceedings of the American Mathematical Society 3 Bulletin of the Korean Mathematical Society 3 Journal of Algebraic Geometry 3 Documenta Mathematica 3 Communications in Contemporary Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Institute of Mathematics of Jussieu 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of the European Mathematical Society (JEMS) 2 Forum of Mathematics, Sigma 1 Israel Journal of Mathematics 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Journal of Symbolic Computation 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Categorical Structures 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 St. Petersburg Mathematical Journal 1 Mathematical Logic Quarterly (MLQ) 1 The Bulletin of Symbolic Logic 1 Transformation Groups 1 Doklady Mathematics 1 Geometry & Topology 1 LMS Journal of Computation and Mathematics 1 Advances in Geometry 1 Central European Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Journal of Physics A: Mathematical and Theoretical 1 Confluentes Mathematici 1 Journal of Commutative Algebra 1 Cryptography and Communications 1 Kyoto Journal of Mathematics 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Annals of \(K\)-Theory 1 Transactions of the American Mathematical Society. Series B 1 Tunisian Journal of Mathematics all top 5 Cited in 21 Fields 94 Algebraic geometry (14-XX) 32 Field theory and polynomials (12-XX) 28 Category theory; homological algebra (18-XX) 22 \(K\)-theory (19-XX) 19 Commutative algebra (13-XX) 17 Group theory and generalizations (20-XX) 17 Ordinary differential equations (34-XX) 10 Number theory (11-XX) 10 Algebraic topology (55-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Mathematical logic and foundations (03-XX) 5 Associative rings and algebras (16-XX) 5 Differential geometry (53-XX) 4 Difference and functional equations (39-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Citations by Year