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Tikhomirov, Alexander Sergeevich

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Author ID: tikhomirov.alexander-s Recent zbMATH articles by "Tikhomirov, Alexander Sergeevich"
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

Publications by Year

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 0987.14028
Markushevich, D.; Tikhomirov, A. S.
24
2001
Moduli of mathematical instanton vector bundles with odd \( c_2\) on projective space. Zbl 1262.14053
Tikhomirov, A. S.
19
2012
Irreducibility and smoothness of the moduli space of mathematical 5-instantons over \(\mathbb P_ 3\). Zbl 1059.14018
Coandă, I.; Tikhomirov, A.; Trautmann, G.
16
2003
Moduli of mathematical instanton vector bundles with even \( c_2\) on projective space. Zbl 1308.14045
Tikhomirov, A. S.
12
2013
Two infinite series of moduli spaces of rank 2 sheaves on \({\mathbb {P}}^3\). Zbl 06783947
Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S.
8
2017
New symplectic \(V\)-manifolds of dimension four via the relative compactified Prymian. Zbl 1138.14032
Markushevich, D.; Tikhomirov, A. S.
7
2007
Moduli spaces of rank 2 instanton sheaves on the projective space. Zbl 1457.14025
Jardim, Marcos; Maican, Mario; Tikhomirov, Alexander S.
6
2017
The variety of complete pairs of zero-dimensional subschemes of an algebraic surface. Zbl 0935.14002
Tikhomirov, A. S.
6
1997
New divisors in the boundary of the instanton moduli space. Zbl 1439.14047
Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S.
5
2018
Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces. Zbl 1292.14031
Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander
4
2013
Moduli of symplectic instanton vector bundles of higher rank on projective space \(\mathbb P^3\). Zbl 1282.14020
Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander S.
4
2012
Symplectic instanton bundles on \(\mathbb P^3\) and ’t Hooft instantons. Zbl 1408.14040
Bruzzo, Ugo; Markushevich, Dimitri G.; Tikhomirov, Alexander S.
3
2016
Linear ind-Grassmannians. Zbl 1327.14219
Penkov, Ivan; Tikhomirov, Alexander S.
3
2014
Bubble tree compactification of moduli spaces of vector bundles on surfaces. Zbl 1303.14049
Markushevich, Dimitri; Tikhomirov, Alexander S.; Trautmann, Günther
3
2012
Symplectic structure on a moduli space of sheaves on a cubic fourfold. Zbl 1075.14040
Markushevich, D. G.; Tikhomirov, A. S.
3
2003
On the Barth morphism. Zbl 0998.14007
Le Potier, Joseph; Tikhomirov, Alexander
3
2001
Construction of stable rank 2 bundles on \(\mathbb{P}^3\) via symplectic bundles. Zbl 1423.14079
Tikhomirov, A. S.; Tikhomirov, S. A.; Vassiliev, D. A.
2
2019
Semistable rank 2 sheaves with singularities of mixed dimension on \(\mathbb{P}^3\). Zbl 06867180
Ivanov, Aleksei N.; Tikhomirov, Alexander S.
2
2018
On the Barth-Van de Ven-Tyurin-Sato theorem. Zbl 1342.14090
Penkov, I. B.; Tikhomirov, A. S.
2
2015
Rank-2 vector bundles on ind-Grassmannians. Zbl 1200.14102
Penkov, Ivan; Tikhomirov, Alexander S.
2
2009
A parametrization of the theta divisor of the quartic double solid. Zbl 1048.14028
Markushevich, 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 1075.14044
Tikhomirov, A. S.
2
2003
Standard bundles on a Hilbert scheme of points on a surface. Zbl 0819.14003
Tikhomirov, A. S.
2
1994
The Abel-Jacobi map of sextics of genus 3 on double spaces of \(P^ 3\) of index two. Zbl 0622.14032
Tikhomirov, 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 0534.14024
Tikhomirov, A. S.
2
1983
Series of rational moduli components of stable rank two vector bundles on \(\mathbb{P}^3\). Zbl 1440.14055
Kytmanov, A. A.; Tikhomirov, A. S.; Tikhomirov, S. A.
1
2019
Triviality of vector bundles on twisted ind-Grassmannians. Zbl 1223.14048
Penkov, I. B.; Tikhomirov, A. S.
1
2011
On birational transformations of Hilbert schemes of an algebraic surface. Zbl 1056.14008
Tikhomirov, A. S.
1
2003
A smooth model for the punctual Hilbert scheme of a surface. Zbl 0884.14001
Tikhomirov, 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 0819.14004
Tikhomirov, A. S.; Troshina, T. L.
1
1994
Letter to the editors. Zbl 0598.14037
Tikhomirov, A. S.
1
1986
The intermediate Jacobian of the double covering of \(P^ 3\) branched at a quartic. Zbl 0476.14017
Tikhomirov, A. S.
1
1981
The geometry of the Fano surface of the double cover of \(P^ 3\) branched in a quartic. Zbl 0462.14014
Tikhomirov, A. S.
1
1981
On bundles of collineations and null-correlations of a projective space. Zbl 0507.14034
Tikhomirov, A. S.
1
1980
The intermediate Jacobian of a double space \(P^ 3\) ramified in a quartic. Zbl 0455.14025
Tikhomirov, A. S.
1
1980
On groups of automorphisms of norm-surfaces in \(P_ n\). Zbl 0529.14029
Tikhomirov, A. S.
1
1979
Construction of stable rank 2 bundles on \(\mathbb{P}^3\) via symplectic bundles. Zbl 1423.14079
Tikhomirov, 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 1440.14055
Kytmanov, A. A.; Tikhomirov, A. S.; Tikhomirov, S. A.
1
2019
New divisors in the boundary of the instanton moduli space. Zbl 1439.14047
Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S.
5
2018
Semistable rank 2 sheaves with singularities of mixed dimension on \(\mathbb{P}^3\). Zbl 06867180
Ivanov, Aleksei N.; Tikhomirov, Alexander S.
2
2018
Two infinite series of moduli spaces of rank 2 sheaves on \({\mathbb {P}}^3\). Zbl 06783947
Jardim, Marcos; Markushevich, Dimitri; Tikhomirov, Alexander S.
8
2017
Moduli spaces of rank 2 instanton sheaves on the projective space. Zbl 1457.14025
Jardim, Marcos; Maican, Mario; Tikhomirov, Alexander S.
6
2017
Symplectic instanton bundles on \(\mathbb P^3\) and ’t Hooft instantons. Zbl 1408.14040
Bruzzo, Ugo; Markushevich, Dimitri G.; Tikhomirov, Alexander S.
3
2016
On the Barth-Van de Ven-Tyurin-Sato theorem. Zbl 1342.14090
Penkov, I. B.; Tikhomirov, A. S.
2
2015
Linear ind-Grassmannians. Zbl 1327.14219
Penkov, Ivan; Tikhomirov, Alexander S.
3
2014
Moduli of mathematical instanton vector bundles with even \( c_2\) on projective space. Zbl 1308.14045
Tikhomirov, A. S.
12
2013
Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces. Zbl 1292.14031
Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander
4
2013
Moduli of mathematical instanton vector bundles with odd \( c_2\) on projective space. Zbl 1262.14053
Tikhomirov, A. S.
19
2012
Moduli of symplectic instanton vector bundles of higher rank on projective space \(\mathbb P^3\). Zbl 1282.14020
Bruzzo, Ugo; Markushevich, Dimitri; Tikhomirov, Alexander S.
4
2012
Bubble tree compactification of moduli spaces of vector bundles on surfaces. Zbl 1303.14049
Markushevich, Dimitri; Tikhomirov, Alexander S.; Trautmann, Günther
3
2012
Triviality of vector bundles on twisted ind-Grassmannians. Zbl 1223.14048
Penkov, I. B.; Tikhomirov, A. S.
1
2011
Rank-2 vector bundles on ind-Grassmannians. Zbl 1200.14102
Penkov, Ivan; Tikhomirov, Alexander S.
2
2009
New symplectic \(V\)-manifolds of dimension four via the relative compactified Prymian. Zbl 1138.14032
Markushevich, D.; Tikhomirov, A. S.
7
2007
Irreducibility and smoothness of the moduli space of mathematical 5-instantons over \(\mathbb P_ 3\). Zbl 1059.14018
Coandă, I.; Tikhomirov, A.; Trautmann, G.
16
2003
Symplectic structure on a moduli space of sheaves on a cubic fourfold. Zbl 1075.14040
Markushevich, D. G.; Tikhomirov, A. S.
3
2003
A parametrization of the theta divisor of the quartic double solid. Zbl 1048.14028
Markushevich, 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 1075.14044
Tikhomirov, A. S.
2
2003
On birational transformations of Hilbert schemes of an algebraic surface. Zbl 1056.14008
Tikhomirov, A. S.
1
2003
The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold. Zbl 0987.14028
Markushevich, D.; Tikhomirov, A. S.
24
2001
On the Barth morphism. Zbl 0998.14007
Le Potier, Joseph; Tikhomirov, Alexander
3
2001
The variety of complete pairs of zero-dimensional subschemes of an algebraic surface. Zbl 0935.14002
Tikhomirov, A. S.
6
1997
A smooth model for the punctual Hilbert scheme of a surface. Zbl 0884.14001
Tikhomirov, A. S.
1
1995
Standard bundles on a Hilbert scheme of points on a surface. Zbl 0819.14003
Tikhomirov, 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 0819.14004
Tikhomirov, 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 0622.14032
Tikhomirov, A. S.
2
1986
Letter to the editors. Zbl 0598.14037
Tikhomirov, 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 0534.14024
Tikhomirov, A. S.
2
1983
The intermediate Jacobian of the double covering of \(P^ 3\) branched at a quartic. Zbl 0476.14017
Tikhomirov, A. S.
1
1981
The geometry of the Fano surface of the double cover of \(P^ 3\) branched in a quartic. Zbl 0462.14014
Tikhomirov, A. S.
1
1981
On bundles of collineations and null-correlations of a projective space. Zbl 0507.14034
Tikhomirov, A. S.
1
1980
The intermediate Jacobian of a double space \(P^ 3\) ramified in a quartic. Zbl 0455.14025
Tikhomirov, A. S.
1
1980
On groups of automorphisms of norm-surfaces in \(P_ n\). Zbl 0529.14029
Tikhomirov, A. S.
1
1979
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

Citations by Year