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Tyurin, Andreĭ Nikolaevich

Author ID: tyurin.andrei-n Recent zbMATH articles by "Tyurin, Andreĭ Nikolaevich"
Published as: Tyurin, A. N.; Tyurin, Andrei; Tyurin, Andrei N.; Tyurin, Andrej N.; Tyurin, Andrej; Tyurin, Andrey
Further Spellings: Тюрин Андрей Николаевич
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 348 times in 302 Documents Cited by Year
On intersections of quadrics. Zbl 0339.14020
Tyurin, A. N.
38
1975
Algebraic surfaces. Zbl 0154.21001
Shafarevich, I. R.; Averbukh, B. G.; Vaĭnberg, J. R.; Zhizhchenko, A. B.; Manin, Yu. I.; Moĭshezon, B. G.; Tyurina, G. N.; Tyurin, A. N.
38
1965
Cycles, curves and vector bundles on an algebraic surface. Zbl 0631.14009
Tyurin, A. N.
28
1987
Five lectures on three-dimensional varieties. Zbl 0263.14012
Tyurin, A. N.
19
1973
Symplectic structures on the varieties of moduli of vector bundles on algebraic surfaces with \(p_ g>0\). Zbl 0673.14021
Tyurin, A. N.
16
1988
Quantization, classical and quantum field theory and theta functions. Zbl 1083.14037
Tyurin, Andrei
14
2003
On periods of quadratic differentials. Zbl 0413.30038
Tyurin, A. N.
14
1978
Vector bundles of finite rank over infinite varieties. Zbl 0379.14004
Tyurin, A. N.
13
1978
Invariants of the smooth structure of an algebraic surface arising from the Dirac operator. Zbl 0796.14024
Pidstrigach, V. Ya.; Tyurin, A. N.
12
1992
Abelian Lagrangian algebraic geometry. Zbl 1005.53057
Gorodentsev, A. L.; Tyurin, A. N.
11
2001
Classification of vector bundles over an algebraic curve of arbitrary genus. Zbl 0207.51603
Tyurin, A. N.
10
1965
Über den Schnitt von Quadriken. Zbl 0328.14014
Tyurin, A. N.
10
1975
Fano versus Calabi-Yau. Zbl 1092.14050
Tyurin, Andrei N.
10
2004
The geometry of the Poincaré theta-divisor of a Prym variety. Zbl 0339.14017
Tyurin, A. N.
9
1977
The geometry of the Fano surface of a nonsingular cubic F \(\subset\) p\(^4\) and Torelli theorems for Fano surfaces and cubics. Zbl 0252.14004
Tyurin, A. N.
9
1972
The middle Jacobian of three-dimensional varieties. Zbl 0428.14015
Tyurin, A. N.
9
1980
On periods of quadratic differentials. Zbl 0429.30037
Tyurin, A. N.
9
1978
The geometry of the Fano surface of a nonsingular cubic \(F\subset P^{4}\), and Torelli’s theorems for Fano surfaces and cubics. Zbl 0215.08201
Tyurin, A. N.
8
1971
The geometry of moduli of vector bundles. Zbl 0325.14016
Tyurin, A. N.
8
1974
Analogs of Torelli’s theorem for multidimensional vector bundles over an arbitrary algebraic curve. Zbl 0225.14010
Tyurin, A. N.
6
1970
Vector bundles. Collected works. Volume I. Edited by Fedor Bogomolov, Alexey Gorodentsev, Victor Pidstrigach, Miles Reid and Nikolay Tyurin. Zbl 1339.01010
Tyurin, Andrey
5
2008
Algebro-geometric aspects of smooth structure. I: The Donaldson polynomials. Zbl 0723.14032
Tyurin, A. N.
5
1989
Special 0-cycles on a polarized K3 surface. Zbl 0646.14031
Tyurin, A. N.
4
1988
Special Lagrangian geometry as slightly deformed algebraic geometry (geometric quantization and mirror symmetry). Zbl 1039.53058
Tyurin, A. N.
4
2000
On the Fano surface of a nonsingular cubic in \(\mathbb P^4\). Zbl 0225.14019
Tyurin, A. N.
4
1972
On the superpositions of mathematical instantons. Zbl 0541.14013
Tyurin, A. N.
3
1983
On Bohr-Sommerfeld bases. Zbl 1027.53114
Tyurin, A. N.
3
2000
Analog of Torelli’s theorem for two-dimensional bundles over algebraic curves of arbitrary genus. Zbl 0225.14008
Tyurin, A. N.
3
1969
Endlich-dimensionale Faserbündel auf unendlich-dimensionalen Mannigfaltigkeiten. Zbl 0346.14006
Tyurin, A. N.
2
1976
The structure of the variety of pairs of commuting pencils of symmetric matrices. Zbl 0594.14036
Tyurin, A. N.
2
1983
The Weil-Petersson metric on the moduli space of stable vector bundles and sheaves on an algebraic surface. Zbl 0788.14007
Tyurin, A. N.
2
1991
The classical geometry of vector bundles. Zbl 0906.14009
Tyurin, Andrei
2
1997
The intermediate Jacobian of a threefold. Zbl 0415.14023
Tyurin, A. N.
2
1979
Spin polynomial invariants of smooth structures on algebraic surfaces. Zbl 0823.14031
Tyurin, A. N.
2
1993
Lectures on the icosahedron and the solution of equations of order 5. Transl. from the German by A. L. Gorodentsev and A. A. Kirillov. Transl. ed. by A. N. Tyurin. With apendixes by V. I. Arnol’d, J.-P. Serre and A. N. Tyurin. (Лекции об икосаэдре и решении уравнений пятой степени.) Zbl 0691.51001
Klein, Felix
1
1989
The geometry of singularities of a generic quadratic form. Zbl 0491.14007
Tyurin, A. N.
1
1981
The instanton equations for (n+1)-superpositions of marked \(ad T P^ 3+ad T P^ 3\). Zbl 0522.14008
Tyurin, A. N.
1
1983
Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024
Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K.
1
1984
On the classification of \(n\)-dimensional vector-bundles over an algebraic curve of arbitrary genus. Zbl 0207.51701
Tyurin, A. N.
1
1969
Non-abelian analogues of Abel’s theorem. Zbl 1015.14020
Tyurin, A. N.
1
2001
Über die Klassifizierung der zweidimensionalen Vektorraumbündel auf einer algebraischen Kurve beliebigen Geschlechtes. Zbl 0123.38103
Tyurin, A. N.
1
1964
Analogs of Torelli’s theorem for multidimensional vector bundles over an arbitrary algebraic curve. Zbl 0225.14011
Tyurin, A. N.
1
1971
Fünf Lektionen über dreidimensionale Mannigfaltigkeiten. Zbl 0256.14019
Tyurin, A. N.
1
1972
On the set of singularities of the Poincaré divisor of the Picard variety of the Fano surface of a nonsingular cubic. Zbl 0261.14007
Tyurin, A. N.
1
1973
On an invariant of a bundle of quadrics. Zbl 0324.14002
Tyurin, A. N.
1
1976
Delzant models of moduli spaces. Zbl 1081.14047
Tyurin, A. N.
1
2003
A slight generalization of the Mehta-Ramanathan theorem. Zbl 0766.14010
Tyurin, A. N.
1
1991
Algebraic geometry and its applications. Proceedings of the 8th algebraic geometry conference, Yaroslavl’, Russia, August 10-14, 1992. Zbl 0793.00016
1
1994
The Fano surface of a nonsingular cubic in \(\mathbb P^4\). Zbl 0205.25403
Tyurin, A. N.
1
1970
Vector bundles. Collected works. Volume I. Edited by Fedor Bogomolov, Alexey Gorodentsev, Victor Pidstrigach, Miles Reid and Nikolay Tyurin. Zbl 1339.01010
Tyurin, Andrey
5
2008
Fano versus Calabi-Yau. Zbl 1092.14050
Tyurin, Andrei N.
10
2004
Quantization, classical and quantum field theory and theta functions. Zbl 1083.14037
Tyurin, Andrei
14
2003
Delzant models of moduli spaces. Zbl 1081.14047
Tyurin, A. N.
1
2003
Abelian Lagrangian algebraic geometry. Zbl 1005.53057
Gorodentsev, A. L.; Tyurin, A. N.
11
2001
Non-abelian analogues of Abel’s theorem. Zbl 1015.14020
Tyurin, A. N.
1
2001
Special Lagrangian geometry as slightly deformed algebraic geometry (geometric quantization and mirror symmetry). Zbl 1039.53058
Tyurin, A. N.
4
2000
On Bohr-Sommerfeld bases. Zbl 1027.53114
Tyurin, A. N.
3
2000
The classical geometry of vector bundles. Zbl 0906.14009
Tyurin, Andrei
2
1997
Algebraic geometry and its applications. Proceedings of the 8th algebraic geometry conference, Yaroslavl’, Russia, August 10-14, 1992. Zbl 0793.00016
1
1994
Spin polynomial invariants of smooth structures on algebraic surfaces. Zbl 0823.14031
Tyurin, A. N.
2
1993
Invariants of the smooth structure of an algebraic surface arising from the Dirac operator. Zbl 0796.14024
Pidstrigach, V. Ya.; Tyurin, A. N.
12
1992
The Weil-Petersson metric on the moduli space of stable vector bundles and sheaves on an algebraic surface. Zbl 0788.14007
Tyurin, A. N.
2
1991
A slight generalization of the Mehta-Ramanathan theorem. Zbl 0766.14010
Tyurin, A. N.
1
1991
Algebro-geometric aspects of smooth structure. I: The Donaldson polynomials. Zbl 0723.14032
Tyurin, A. N.
5
1989
Lectures on the icosahedron and the solution of equations of order 5. Transl. from the German by A. L. Gorodentsev and A. A. Kirillov. Transl. ed. by A. N. Tyurin. With apendixes by V. I. Arnol’d, J.-P. Serre and A. N. Tyurin. (Лекции об икосаэдре и решении уравнений пятой степени.) Zbl 0691.51001
Klein, Felix
1
1989
Symplectic structures on the varieties of moduli of vector bundles on algebraic surfaces with \(p_ g>0\). Zbl 0673.14021
Tyurin, A. N.
16
1988
Special 0-cycles on a polarized K3 surface. Zbl 0646.14031
Tyurin, A. N.
4
1988
Cycles, curves and vector bundles on an algebraic surface. Zbl 0631.14009
Tyurin, A. N.
28
1987
Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024
Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K.
1
1984
On the superpositions of mathematical instantons. Zbl 0541.14013
Tyurin, A. N.
3
1983
The structure of the variety of pairs of commuting pencils of symmetric matrices. Zbl 0594.14036
Tyurin, A. N.
2
1983
The instanton equations for (n+1)-superpositions of marked \(ad T P^ 3+ad T P^ 3\). Zbl 0522.14008
Tyurin, A. N.
1
1983
The geometry of singularities of a generic quadratic form. Zbl 0491.14007
Tyurin, A. N.
1
1981
The middle Jacobian of three-dimensional varieties. Zbl 0428.14015
Tyurin, A. N.
9
1980
The intermediate Jacobian of a threefold. Zbl 0415.14023
Tyurin, A. N.
2
1979
On periods of quadratic differentials. Zbl 0413.30038
Tyurin, A. N.
14
1978
Vector bundles of finite rank over infinite varieties. Zbl 0379.14004
Tyurin, A. N.
13
1978
On periods of quadratic differentials. Zbl 0429.30037
Tyurin, A. N.
9
1978
The geometry of the Poincaré theta-divisor of a Prym variety. Zbl 0339.14017
Tyurin, A. N.
9
1977
Endlich-dimensionale Faserbündel auf unendlich-dimensionalen Mannigfaltigkeiten. Zbl 0346.14006
Tyurin, A. N.
2
1976
On an invariant of a bundle of quadrics. Zbl 0324.14002
Tyurin, A. N.
1
1976
On intersections of quadrics. Zbl 0339.14020
Tyurin, A. N.
38
1975
Über den Schnitt von Quadriken. Zbl 0328.14014
Tyurin, A. N.
10
1975
The geometry of moduli of vector bundles. Zbl 0325.14016
Tyurin, A. N.
8
1974
Five lectures on three-dimensional varieties. Zbl 0263.14012
Tyurin, A. N.
19
1973
On the set of singularities of the Poincaré divisor of the Picard variety of the Fano surface of a nonsingular cubic. Zbl 0261.14007
Tyurin, A. N.
1
1973
The geometry of the Fano surface of a nonsingular cubic F \(\subset\) p\(^4\) and Torelli theorems for Fano surfaces and cubics. Zbl 0252.14004
Tyurin, A. N.
9
1972
On the Fano surface of a nonsingular cubic in \(\mathbb P^4\). Zbl 0225.14019
Tyurin, A. N.
4
1972
Fünf Lektionen über dreidimensionale Mannigfaltigkeiten. Zbl 0256.14019
Tyurin, A. N.
1
1972
The geometry of the Fano surface of a nonsingular cubic \(F\subset P^{4}\), and Torelli’s theorems for Fano surfaces and cubics. Zbl 0215.08201
Tyurin, A. N.
8
1971
Analogs of Torelli’s theorem for multidimensional vector bundles over an arbitrary algebraic curve. Zbl 0225.14011
Tyurin, A. N.
1
1971
Analogs of Torelli’s theorem for multidimensional vector bundles over an arbitrary algebraic curve. Zbl 0225.14010
Tyurin, A. N.
6
1970
The Fano surface of a nonsingular cubic in \(\mathbb P^4\). Zbl 0205.25403
Tyurin, A. N.
1
1970
Analog of Torelli’s theorem for two-dimensional bundles over algebraic curves of arbitrary genus. Zbl 0225.14008
Tyurin, A. N.
3
1969
On the classification of \(n\)-dimensional vector-bundles over an algebraic curve of arbitrary genus. Zbl 0207.51701
Tyurin, A. N.
1
1969
Algebraic surfaces. Zbl 0154.21001
Shafarevich, I. R.; Averbukh, B. G.; Vaĭnberg, J. R.; Zhizhchenko, A. B.; Manin, Yu. I.; Moĭshezon, B. G.; Tyurina, G. N.; Tyurin, A. N.
38
1965
Classification of vector bundles over an algebraic curve of arbitrary genus. Zbl 0207.51603
Tyurin, A. N.
10
1965
Über die Klassifizierung der zweidimensionalen Vektorraumbündel auf einer algebraischen Kurve beliebigen Geschlechtes. Zbl 0123.38103
Tyurin, A. N.
1
1964
all top 5

Cited by 313 Authors

7 Biswas, Indranil
6 Korotkin, Dmitrii A.
6 Tyurin, Nikolaĭ Andreevich
5 Leness, Thomas G.
5 Nikulin, Vyacheslav Valentinovich
4 Feehan, Paul M. N.
4 Friedman, Robert M.
4 Iskovskikh, Vasiliĭ Alekseevich
4 Kokotov, Aleksey
4 Lewis, James D.
4 Lopez, Angelo Felice
4 Prokhorov, Yuriĭ Gennad’evich
4 Qin, Zhenbo
4 Smith, Roy Campbell
4 Zograf, Peter
3 Ballico, Edoardo
3 Beauville, Arnaud
3 Bottacin, Francesco
3 Coandă, Iustin
3 Dolgachev, Igor’ Vladimirovich
3 Donagi, Ron Y.
3 Dragović, Vladimir
3 Arango Florentino, Carlos Armindo
3 Gómez, Tomás L.
3 Hurtubise, Jacques C.
3 Kim, Hoil
3 Krasnov, Vyacheslav Alekseevich
3 Krichever, Igor’ Moiseevich
3 Lee, Namhoon
3 Markushevich, Dimitri Genrikhovich
3 Mourão, José M.
3 Nunes, João Pedro Vidal
3 Paoletti, Roberto
3 Pukhlikov, Aleksandr Valentinovich
3 Roulleau, Xavier
3 Spera, Mauro
3 Takhtajan, Leon Armenovich
3 Verra, Alessandro
3 Voisin, Claire
2 Barron, Tatyana
2 Bloch, Spencer J.
2 Catanese, Fabrizio M. E.
2 Debarre, Olivier
2 Doran, Charles F.
2 Evangelides, P.
2 Flenner, Hubert
2 Frías Medina, Juan Bosco
2 Hall, Brian C.
2 Harder, Andrew
2 Hosono, Shinobu
2 Ikeda, Atsushi
2 Kanev, Vassil
2 Katzarkov, Ludmil
2 Kharlamov, Viatcheslav M.
2 Knörrer, Horst
2 Knutsen, Andreas Leopold
2 Kouvidakis, Alexis
2 Kulikov, Viktor Stepanovich
2 Lange, Herbert
2 Laterveer, Robert
2 Madonna, Carlo G.
2 Manin, Yuriĭ Ivanovich
2 Mata-Gutiérrez, Osbaldo
2 Miranda, Rick
2 Mitchell, Jeffrey J.
2 Murre, Jacob P.
2 Nakashima, Tohru
2 Nekrasov, Nikita Alexandrovich
2 Ottaviani, Giorgio Maria
2 Penkov, Ivan B.
2 Pirola, Gian Pietro
2 Radnović, Milena
2 Rasmussen, Nils Henry Williams
2 Ruan, Yongbin
2 Serpico, Maria Ezia
2 Sheĭnman, Oleg Karlovich
2 Takagi, Hiromichi
2 Teleman, Andrei-Dumitru
2 Tikhomirov, Alexander Sergeevich
2 Vourdas, Apostolos
2 Zaidenberg, Mikhail G.
2 Zamora, Alexis G.
2 Zhang, Yingchun
2 Zhou, Jie
2 Zuo, Kang
1 Abdallah, Nancy
1 Abdesselam, Abdelmalek
1 Abels, Herbert
1 Adler, Mark
1 Alexeev, Valery A.
1 Alfaya, David
1 Allegretti, Dylan Gregory Lucasi
1 Alluhaibi, Nadia
1 Altman, Allen B.
1 Alvarez-Parrilla, Alvaro
1 Anderson, Lara B.
1 Andreatta, Marco
1 Angeniol, Bernard
1 Arapura, Donu
1 Artamkin, I. V.
...and 213 more Authors
all top 5

Cited in 93 Serials

24 Mathematische Annalen
20 Inventiones Mathematicae
12 Compositio Mathematica
12 Manuscripta Mathematica
11 Advances in Mathematics
9 Duke Mathematical Journal
8 Izvestiya: Mathematics
7 Mathematical Notes
7 Journal of Geometry and Physics
7 Transactions of the American Mathematical Society
7 Proceedings of the Steklov Institute of Mathematics
6 Communications in Mathematical Physics
6 European Journal of Mathematics
5 Communications in Algebra
5 Journal of Mathematical Physics
5 Archiv der Mathematik
5 Geometriae Dedicata
5 Journal of Functional Analysis
5 Mathematische Zeitschrift
5 International Journal of Mathematics
5 Journal of Mathematical Sciences (New York)
4 Functional Analysis and its Applications
4 Journal of Soviet Mathematics
4 Proceedings of the American Mathematical Society
4 Central European Journal of Mathematics
3 Theoretical and Mathematical Physics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Journal of Pure and Applied Algebra
3 Michigan Mathematical Journal
3 Rendiconti del Seminario Matematico della Università di Padova
3 Siberian Mathematical Journal
3 Journal of High Energy Physics
3 Advances in Geometry
2 Letters in Mathematical Physics
2 Russian Mathematical Surveys
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Algebra
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Results in Mathematics
2 Annals of Global Analysis and Geometry
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Indagationes Mathematicae. New Series
2 Journal of Algebraic Geometry
2 Sbornik: Mathematics
2 Geometry & Topology
2 Communications in Contemporary Mathematics
2 Arnold Mathematical Journal
1 Israel Journal of Mathematics
1 Linear and Multilinear Algebra
1 Nuclear Physics. B
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Dissertationes Mathematicae
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 International Journal of Mathematics and Mathematical Sciences
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Topology and its Applications
1 Bulletin of the Korean Mathematical Society
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Linear Algebra and its Applications
1 Journal of Knot Theory and its Ramifications
1 Bulletin des Sciences Mathématiques
1 Transformation Groups
1 The Ramanujan Journal
1 Mathematical Physics, Analysis and Geometry
1 Revista Matemática Complutense
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Portugaliae Mathematica. Nova Série
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Geometric Methods in Modern Physics
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
1 Complex Manifolds
1 Bollettino dell’Unione Matematica Italiana

Citations by Year

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