Edit Profile Tikhomirov, Alexander Sergeevich Compute Distance To: Compute Author ID: tikhomirov.alexander-s Published as: Tikhomirov, A.; Tikhomirov, A. S.; Tikhomirov, Alexander; Tikhomirov, Alexander S. External Links: Math-Net.Ru · ResearchGate Documents Indexed: 62 Publications since 1974, including 1 Book all top 5 Co-Authors 25 single-authored 10 Markushevich, Dimitri Genrikhovich 4 Penkov, Ivan B. 3 Bruzzo, Ugo 3 Jardim, Marcos 3 Tikhomirov, Sergey A. 2 Lavrov, Aleksei N. 2 Trautmann, Günther 2 Troshina, T. L. 1 Bogomolov, Fedor Alekseivich 1 Catanese, Fabrizio M. E. 1 Cheltsov, Ivan Anatol’evich 1 Coandă, Iustin 1 Kharlamov, Viatcheslav M. 1 Kytmanov, Alexey Alexandrovich 1 Le Potier, Joseph 1 Maican, Mario 1 Manin, Yuri Ivanovich 1 Nemirovskiĭ, Stefan Yur’evich 1 Nikulin, Vyacheslav Valentinovich 1 Parshin, Alexei N. 1 Prokhorov, Yuriĭ Gennad’evich 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Shabarshina, G. V. 1 Shafarevich, Igor’ Rostislavovich 1 Shokurov, Vyacheslav Vladimirovich 1 Teicher, Mina 1 Tyurin, Andreĭ Nikolaevich 1 Vassiliev, D. A. all top 5 Serials 7 Mathematics of the USSR. Izvestiya 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Izvestiya: Mathematics 2 Mathematical Notes 2 International Journal of Mathematics 2 Sbornik: Mathematics 2 Central European Journal of Mathematics 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Siberian Mathematical Journal 1 Soviet Mathematics. Doklady 1 Acta Applicandae Mathematicae 1 IMRN. International Mathematics Research Notices 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Doklady Mathematics 1 Moscow Mathematical Journal 1 Pure and Applied Mathematics Quarterly 1 Aspects of Mathematics 1 European Journal of Mathematics Fields 51 Algebraic geometry (14-XX) 3 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 155 times in 97 Documents Cited by ▼ Year ▼ The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold. Zbl 0987.14028Markushevich, D.; Tikhomirov, A. S. 24 2001 Moduli of mathematical instanton vector bundles with odd \( c_2\) on projective space. Zbl 1262.14053Tikhomirov, A. S. 19 2012 Irreducibility and smoothness of the moduli space of mathematical 5-instantons over \(\mathbb P_ 3\). Zbl 1059.14018Coandă, I.; Tikhomirov, A.; Trautmann, G. 16 2003 Moduli of mathematical instanton vector bundles with even \( c_2\) on projective space. Zbl 1308.14045Tikhomirov, A. S. 12 2013 Two infinite series of moduli spaces of rank 2 sheaves on \({\mathbb {P}}^3\). Zbl 06783947Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S. 8 2017 New symplectic \(V\)-manifolds of dimension four via the relative compactified Prymian. Zbl 1138.14032Markushevich, D.; Tikhomirov, A. S. 7 2007 Moduli spaces of rank 2 instanton sheaves on the projective space. Zbl 1457.14025Jardim, Marcos; Maican, Mario; Tikhomirov, Alexander S. 6 2017 The variety of complete pairs of zero-dimensional subschemes of an algebraic surface. Zbl 0935.14002Tikhomirov, A. S. 6 1997 New divisors in the boundary of the instanton moduli space. Zbl 1439.14047Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S. 5 2018 Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces. Zbl 1292.14031Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander 4 2013 Moduli of symplectic instanton vector bundles of higher rank on projective space \(\mathbb P^3\). Zbl 1282.14020Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander S. 4 2012 Symplectic instanton bundles on \(\mathbb P^3\) and ’t Hooft instantons. Zbl 1408.14040Bruzzo, Ugo; Markushevich, Dimitri G.; Tikhomirov, Alexander S. 3 2016 Linear ind-Grassmannians. Zbl 1327.14219Penkov, Ivan; Tikhomirov, Alexander S. 3 2014 Bubble tree compactification of moduli spaces of vector bundles on surfaces. Zbl 1303.14049Markushevich, Dimitri; Tikhomirov, Alexander S.; Trautmann, Günther 3 2012 Symplectic structure on a moduli space of sheaves on a cubic fourfold. Zbl 1075.14040Markushevich, D. G.; Tikhomirov, A. S. 3 2003 On the Barth morphism. Zbl 0998.14007Le Potier, Joseph; Tikhomirov, Alexander 3 2001 Construction of stable rank 2 bundles on \(\mathbb{P}^3\) via symplectic bundles. Zbl 1423.14079Tikhomirov, A. S.; Tikhomirov, S. A.; Vassiliev, D. A. 2 2019 Semistable rank 2 sheaves with singularities of mixed dimension on \(\mathbb{P}^3\). Zbl 06867180Ivanov, Aleksei N.; Tikhomirov, Alexander S. 2 2018 On the Barth-Van de Ven-Tyurin-Sato theorem. Zbl 1342.14090Penkov, I. B.; Tikhomirov, A. S. 2 2015 Rank-2 vector bundles on ind-Grassmannians. Zbl 1200.14102Penkov, Ivan; Tikhomirov, Alexander S. 2 2009 A parametrization of the theta divisor of the quartic double solid. Zbl 1048.14028Markushevich, D. G.; Tikhomirov, A. S. 2 2003 New component of the moduli space \(M\)(2;0,3) of stable vector bundles on the double space \(\mathbb{P}^3\) of index two. Zbl 1075.14044Tikhomirov, A. S. 2 2003 Standard bundles on a Hilbert scheme of points on a surface. Zbl 0819.14003Tikhomirov, A. S. 2 1994 The Abel-Jacobi map of sextics of genus 3 on double spaces of \(P^ 3\) of index two. Zbl 0622.14032Tikhomirov, A. S. 2 1986 Singularities of the theta divisor of the intermediate Jacobian of a double cover of \({\mathbb{P}}^ 3\) of index two. Zbl 0534.14024Tikhomirov, A. S. 2 1983 Series of rational moduli components of stable rank two vector bundles on \(\mathbb{P}^3\). Zbl 1440.14055Kytmanov, A. A.; Tikhomirov, A. S.; Tikhomirov, S. A. 1 2019 Triviality of vector bundles on twisted ind-Grassmannians. Zbl 1223.14048Penkov, I. B.; Tikhomirov, A. S. 1 2011 On birational transformations of Hilbert schemes of an algebraic surface. Zbl 1056.14008Tikhomirov, A. S. 1 2003 A smooth model for the punctual Hilbert scheme of a surface. Zbl 0884.14001Tikhomirov, A. S. 1 1995 Top Segre class of a standard vector bundle \({\mathcal E}^ 4_ D\) on the Hilbert scheme \(\text{Hilb}^ 4S\) of a surface \(S\). Zbl 0819.14004Tikhomirov, A. S.; Troshina, T. L. 1 1994 Letter to the editors. Zbl 0598.14037Tikhomirov, A. S. 1 1986 The intermediate Jacobian of the double covering of \(P^ 3\) branched at a quartic. Zbl 0476.14017Tikhomirov, A. S. 1 1981 The geometry of the Fano surface of the double cover of \(P^ 3\) branched in a quartic. Zbl 0462.14014Tikhomirov, A. S. 1 1981 On bundles of collineations and null-correlations of a projective space. Zbl 0507.14034Tikhomirov, A. S. 1 1980 The intermediate Jacobian of a double space \(P^ 3\) ramified in a quartic. Zbl 0455.14025Tikhomirov, A. S. 1 1980 On groups of automorphisms of norm-surfaces in \(P_ n\). Zbl 0529.14029Tikhomirov, A. S. 1 1979 Construction of stable rank 2 bundles on \(\mathbb{P}^3\) via symplectic bundles. Zbl 1423.14079Tikhomirov, A. S.; Tikhomirov, S. A.; Vassiliev, D. A. 2 2019 Series of rational moduli components of stable rank two vector bundles on \(\mathbb{P}^3\). Zbl 1440.14055Kytmanov, A. A.; Tikhomirov, A. S.; Tikhomirov, S. A. 1 2019 New divisors in the boundary of the instanton moduli space. Zbl 1439.14047Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S. 5 2018 Semistable rank 2 sheaves with singularities of mixed dimension on \(\mathbb{P}^3\). Zbl 06867180Ivanov, Aleksei N.; Tikhomirov, Alexander S. 2 2018 Two infinite series of moduli spaces of rank 2 sheaves on \({\mathbb {P}}^3\). Zbl 06783947Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S. 8 2017 Moduli spaces of rank 2 instanton sheaves on the projective space. Zbl 1457.14025Jardim, Marcos; Maican, Mario; Tikhomirov, Alexander S. 6 2017 Symplectic instanton bundles on \(\mathbb P^3\) and ’t Hooft instantons. Zbl 1408.14040Bruzzo, Ugo; Markushevich, Dimitri G.; Tikhomirov, Alexander S. 3 2016 On the Barth-Van de Ven-Tyurin-Sato theorem. Zbl 1342.14090Penkov, I. B.; Tikhomirov, A. S. 2 2015 Linear ind-Grassmannians. Zbl 1327.14219Penkov, Ivan; Tikhomirov, Alexander S. 3 2014 Moduli of mathematical instanton vector bundles with even \( c_2\) on projective space. Zbl 1308.14045Tikhomirov, A. S. 12 2013 Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces. Zbl 1292.14031Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander 4 2013 Moduli of mathematical instanton vector bundles with odd \( c_2\) on projective space. Zbl 1262.14053Tikhomirov, A. S. 19 2012 Moduli of symplectic instanton vector bundles of higher rank on projective space \(\mathbb P^3\). Zbl 1282.14020Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander S. 4 2012 Bubble tree compactification of moduli spaces of vector bundles on surfaces. Zbl 1303.14049Markushevich, Dimitri; Tikhomirov, Alexander S.; Trautmann, Günther 3 2012 Triviality of vector bundles on twisted ind-Grassmannians. Zbl 1223.14048Penkov, I. B.; Tikhomirov, A. S. 1 2011 Rank-2 vector bundles on ind-Grassmannians. Zbl 1200.14102Penkov, Ivan; Tikhomirov, Alexander S. 2 2009 New symplectic \(V\)-manifolds of dimension four via the relative compactified Prymian. Zbl 1138.14032Markushevich, D.; Tikhomirov, A. S. 7 2007 Irreducibility and smoothness of the moduli space of mathematical 5-instantons over \(\mathbb P_ 3\). Zbl 1059.14018Coandă, I.; Tikhomirov, A.; Trautmann, G. 16 2003 Symplectic structure on a moduli space of sheaves on a cubic fourfold. Zbl 1075.14040Markushevich, D. G.; Tikhomirov, A. S. 3 2003 A parametrization of the theta divisor of the quartic double solid. Zbl 1048.14028Markushevich, D. G.; Tikhomirov, A. S. 2 2003 New component of the moduli space \(M\)(2;0,3) of stable vector bundles on the double space \(\mathbb{P}^3\) of index two. Zbl 1075.14044Tikhomirov, A. S. 2 2003 On birational transformations of Hilbert schemes of an algebraic surface. Zbl 1056.14008Tikhomirov, A. S. 1 2003 The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold. Zbl 0987.14028Markushevich, D.; Tikhomirov, A. S. 24 2001 On the Barth morphism. Zbl 0998.14007Le Potier, Joseph; Tikhomirov, Alexander 3 2001 The variety of complete pairs of zero-dimensional subschemes of an algebraic surface. Zbl 0935.14002Tikhomirov, A. S. 6 1997 A smooth model for the punctual Hilbert scheme of a surface. Zbl 0884.14001Tikhomirov, A. S. 1 1995 Standard bundles on a Hilbert scheme of points on a surface. Zbl 0819.14003Tikhomirov, A. S. 2 1994 Top Segre class of a standard vector bundle \({\mathcal E}^ 4_ D\) on the Hilbert scheme \(\text{Hilb}^ 4S\) of a surface \(S\). Zbl 0819.14004Tikhomirov, A. S.; Troshina, T. L. 1 1994 The Abel-Jacobi map of sextics of genus 3 on double spaces of \(P^ 3\) of index two. Zbl 0622.14032Tikhomirov, A. S. 2 1986 Letter to the editors. Zbl 0598.14037Tikhomirov, A. S. 1 1986 Singularities of the theta divisor of the intermediate Jacobian of a double cover of \({\mathbb{P}}^ 3\) of index two. Zbl 0534.14024Tikhomirov, A. S. 2 1983 The intermediate Jacobian of the double covering of \(P^ 3\) branched at a quartic. Zbl 0476.14017Tikhomirov, A. S. 1 1981 The geometry of the Fano surface of the double cover of \(P^ 3\) branched in a quartic. Zbl 0462.14014Tikhomirov, A. S. 1 1981 On bundles of collineations and null-correlations of a projective space. Zbl 0507.14034Tikhomirov, A. S. 1 1980 The intermediate Jacobian of a double space \(P^ 3\) ramified in a quartic. Zbl 0455.14025Tikhomirov, A. S. 1 1980 On groups of automorphisms of norm-surfaces in \(P_ n\). Zbl 0529.14029Tikhomirov, A. S. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 100 Authors 13 Jardim, Marcos 10 Tikhomirov, Alexander Sergeevich 6 Faenzi, Daniele 6 Tikhomirov, Sergey A. 6 Voisin, Claire 5 Markushevich, Dimitri Genrikhovich 4 Bruzzo, Ugo 3 Marchesi, Simone 3 Menet, Grégoire 3 Mirò-Roig, Rosa Maria 2 Brambilla, Maria Chiara 2 Casnati, Gianfranco 2 Grivaux, Julien 2 Henni, Abdelmoubine Amar 2 Ignatyev, Mikhail V. 2 Kuznetsov, Aleksandr Gennad’evich 2 Kytmanov, Alexey Alexandrovich 2 Lavrov, Aleksei N. 2 Maican, Mario 2 Mboro, René 2 Osipov, Nikolai N. 2 Ottaviani, Giorgio Maria 2 Penkov, Ivan B. 2 Saccà, Giulia 2 Sala, Francesco 2 Timofeeva, Nadezda V. 2 Verbitsky, Misha 2 Vidal Martins, Renato 2 Wang, Zhilan 1 Andrade, Aline Vilela 1 Auel, Asher Natan 1 Beauville, Arnaud 1 Bernardara, Marcello 1 Biswas, Indranil 1 Biswas, Jishnu 1 Cheltsov, Ivan Anatol’evich 1 Chowdhury, Atoshi 1 Comaschi, Gaia 1 Costa, Laura 1 Debarre, Olivier 1 Dinh Dũng 1 Ermakova, S. M. 1 Ermakova, Svetlana 1 Fania, Maria Lucia 1 Frenkel, Igor B. 1 Gargate, Michael 1 Genc, Ozhan 1 Gruson, Laurent 1 Guimarães, Douglas M. 1 Halic, Mihai 1 Hassett, Brendan 1 Hauzer, Marcin 1 Hoffmann, Norbert Peter 1 Hu, Jianxun 1 Iena, Oleksandr G. 1 Iliev, Atanas Iliev 1 Kanaev, B. G. 1 Kollár, János 1 Langer, Adrian 1 Laytimi, Fatima 1 Laza, Radu 1 Machu, Francois-Xavier 1 Malaspina, Francesco 1 Manin, Yuri Ivanovich 1 Manivel, Laurent 1 Marques, Pedro Macias 1 Matteini, Tommaso 1 Nagaraj, Donihakkalu Shankar 1 Pedrini, Mattia 1 Perego, Arvid 1 Poghossian, Rubik 1 Prokhorov, Yuriĭ Gennad’evich 1 Przhiyalkovskiĭ, Viktor Vladimirovich 1 Pukhlikov, Aleksandr Valentinovich 1 Qin, Xuqiang 1 Qin, Zhenbo 1 Ravindra, Girivaru V. 1 Scalise, Jacopo Vittorio 1 Sernesi, Edoardo 1 Shen, Junliang 1 Shramov, Konstantin Aleksandrovich 1 Silva, Diogo Diniz P. S. 1 Smirnov, Eugeny Ivanovich 1 Soares, Helena 1 Takagi, Hiromichi 1 Tanzini, Alessandro 1 Trautmann, Günther 1 Troshina, T. L. 1 Tschinkel, Yuri 1 Vallès, Jean 1 Vassiliev, D. A. 1 Vassiliev, Danil 1 Vermeire, Peter 1 von Flach, Rodrigo A. 1 Wissdorf, Anna 1 Wolf, Joseph Albert 1 Yin, Qizheng 1 Zhou, Jian 1 Zubova, Elena A. 1 Zucconi, Francesco all top 5 Cited in 48 Serials 7 Journal of Geometry and Physics 7 Journal of Pure and Applied Algebra 6 International Journal of Mathematics 5 Mathematical Notes 5 Manuscripta Mathematica 4 European Journal of Mathematics 3 Advances in Mathematics 3 Compositio Mathematica 3 Siberian Mathematical Journal 3 Central European Journal of Mathematics 2 Communications in Algebra 2 Geometriae Dedicata 2 Glasgow Mathematical Journal 2 Mathematische Zeitschrift 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Forum Mathematicum 2 Journal of Algebraic Geometry 1 Communications in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Sbornik: Mathematics 1 Geometry & Topology 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Japanese Journal of Mathematics. 3rd Series 1 Complex Manifolds all top 5 Cited in 13 Fields 95 Algebraic geometry (14-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Differential geometry (53-XX) 3 Category theory; homological algebra (18-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year