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Shafarevich, Igor’ Rostislavovich

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Author ID: shafarevich.igor-rostislavovich Recent zbMATH articles by "Shafarevich, Igor' Rostislavovich"
Published as: Chafarevitch, I. R.; Schafarewitch, I. R.; Schafarewitsch, I. R.; Schafarewitsch, Igor R.; Shafarevic, I. R.; Shafarevich, I. R.; Shafarevich, Igor R.; Shafarevich, Igor Rostislavovich; Shafarevitch, I. R.
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Documents Indexed: 186 Publications since 1943, including 63 Books
Biographic References: 15 Publications
all top 5

Co-Authors

92 single-authored
29 Gamkrelidze, Revaz Valerianovich
23 Parshin, Alexei N.
19 Kostrikin, Alekseĭ Ivanovich
18 Rudakov, Alexei Nikolaevich
8 Iskovskikh, Vasiliĭ Alekseevich
8 Manin, Yuri Ivanovich
7 Piatetski-Shapiro, Ilya
5 Borevich, Zenon Ivanovich
5 Nikulin, Vyacheslav Valentinovich
4 Demushkin, S. P.
4 Kulikov, Viktor Stepanovich
3 Bogomolov, Fedor Alekseivich
3 Golod, Evgeniĭ Solomonovich
3 Moishezon, Boris G.
3 Novikov, Sergeĭ Petrovich
3 Orlov, Dmitri O.
3 Prokhorov, Yuriĭ Gennad’evich
3 Shokurov, Vyacheslav Vladimirovich
3 Tyurin, Andreĭ Nikolaevich
2 Arnol’d, Vladimir Igorevich
2 Demidov, Sergeĭ Sergeevich
2 Gabriel, Pierre
2 Gel’fand, Israil’ Moiseevich
2 Karatsuba, Anatoliĭ Alekseevich
2 Petrova, Svetlana Sergeevna
2 Pukhlikov, Aleksandr Valentinovich
2 Reid, Miles
2 Roiter, Andrei V.
2 Smirnova, Galina Sergeevna
2 Tikhomirov, Vladimir Mikhaĭlovich
2 Vasil’ev, Viktor Anatol’evich
2 Vladimirov, Vasiliĭ Sergeevich
2 Vostokov, Sergeĭ Vladimirovich
2 Zarkhin, Yuriĭ Gennad’evich
2 Zink, Thomas
1 Anosov, Dmitriĭ Viktorovich
1 Arkhipov, Gennadiĭ Ivanovich
1 Arslanov, Marat M.
1 Averbukh, B. G.
1 Blagodatskikh, Viktor Ivanovich
1 Bolibrukh, Andreĭ Andreevich
1 Catanese, Fabrizio M. E.
1 Cheltsov, Ivan Anatol’evich
1 Chubarikov, Vladimir Nikolaevich
1 Drinfeld, Vladimir Gershonovich
1 Dubrovin, Nikolaĭ Ivanovich
1 Filippov, Vladimir Mikhailovich
1 Fomenko, Anatoliĭ Timofeevich
1 Gonchar, Andreĭ Aleksandrovich
1 Gorchinskiĭ, Sergeĭ Olegovich
1 Il’in, Vladimir Aleksandrovich
1 Kaledin, Dmitry B.
1 Kharlamov, Viatcheslav M.
1 Klyachko, Alexander Anatol’evich
1 Kozlov, Valeriĭ Vasil’evich
1 Kryazhimskiĭ, Arkadiĭ Viktorovich
1 Kunyavskiĭ, Boris Èmmanuilovich
1 Latyshev, Viktor Nikolaevich
1 Mikhalëv, Aleksandr Vasil’evich
1 Nemirovskiĭ, Stefan Yur’evich
1 Nesterenko, Yuriĭ Valentinovich
1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
1 Osipov, Denis Vasil’evich
1 Oskolkov, Konstantin Ilyich
1 Popov, Vladimir Leonidovich
1 Prokhorov, Yuriĭ Vasil’evich
1 Przhiyalkovskiĭ, Viktor Vladimirovich
1 Remizov, Alexey O.
1 Rybnikov, Konstantin Alekseevich
1 Sergeev, Armen Glebovich
1 Shmel’kin, Al’fred L’vovich
1 Stepanov, Sergei Alexandrovich
1 Tate, John Torrence jun.
1 Teicher, Mina
1 Tikhomirov, Alexander Sergeevich
1 Tyurina, G. N.
1 Vaĭnberg, Yu. R.
1 Vandoulakis, Ioannis M.
1 Venkov, B. A.
1 Vinberg, Èrnest Borisovich
1 Zel’manov, Efim Isaakovich
1 Zheglov, Alexander B.
1 Zhizhchenko, Alexey B.
all top 5

Serials

17 Russian Mathematical Surveys
15 Encyclopaedia of Mathematical Sciences
14 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
13 Translations. Series 2. American Mathematical Society
12 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
7 Mathematics of the USSR. Izvestiya
6 Uspekhi Matematicheskikh Nauk [N. S.]
5 Doklady Akademii Nauk SSSR
4 Proceedings of the Steklov Institute of Mathematics
4 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
3 Soviet Mathematics. Doklady
3 Voprosy Istorii Estestvoznaniya i Tekhniki
3 Doklady Akademii Nauk SSSR. Novaya Seriya
2 Mathematical Notes
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Algebra i Analiz
2 Leningrad Mathematical Journal
2 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série
2 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei
2
2 Universitext
1 Communications in Algebra
1 Matematicheskie Zametki
1 The Mathematical Intelligencer
1 Commentarii Mathematici Universitatis Sancti Pauli
1 Duke Mathematical Journal
1 Publications Mathématiques
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Historia Mathematica
1 St. Petersburg Mathematical Journal
1 Izvestiya: Mathematics
1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Grundlehren der Mathematischen Wissenschaften
1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research
1 Logik und Grundlagen der Mathematik
1 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe
1 Springer Collected Works in Mathematics

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 2,177 times in 1,937 Documents Cited by Year
Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902
Borevich, Z. I.; Shafarevich, I. R.
303
1966
Basic algebraic geometry. 1: Varieties in projective space. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14001
Shafarevich, Igor R.
199
1994
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001
Shafarevich, I. R.
197
1977
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001
Shafarevich, I. R.
167
1974
On the class field tower. Zbl 0136.02602
Golod, E. S.; Shafarevich, I. R.
105
1964
A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
76
1972
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.); Gabriel, P.; Roiter, A. V.
70
1992
Number theory. Zbl 0121.04202
Borevich, Z. I.; Shafarevich, I. R.
65
1964
Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004
Shafarevich, Igor R.
55
2013
Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
43
1971
Graded Lie algebras of finite characteristic. Zbl 0211.05304
Kostrikin, A. I.; Shafarevich, I. R.
43
1970
Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704
Shafarevich, I. R.
39
1966
Foundations of algebraic geometry. Zbl 0204.21301
Shafarevich, I. R.
37
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.
36
1965
Number theory. Zbl 0145.04901
Borevich, Z. I.; Chafarevitch, I. R.
30
1967
Basic algebraic geometry. (Osnovy algebraicheskoj geometrii.) Vol. 1: Algebraic manifolds in projective space. (Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve). Vol. 2: Schemes. Complex manifolds. (Tom 2: Skhemy. Kompleksnye mnogoobraziya). 2nd ed., rev. and compl. Zbl 0675.14001
Shafarevich, I. R.
29
1988
Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001
Borevich, Z. I.; Shafarevich, I. R.
29
1985
Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015
Rudakov, A. N.; Shafarevich, I. R.
29
1981
Basic algebraic geometry. 2: Schemes amd complex manifolds. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14002
Shafarevich, Igor R.
28
1994
Inseparable morphisms of algebraic surfaces. Zbl 0379.14006
Rudakov, A. N.; Shafarevich, I. R.
28
1978
Construction of algebraic number fields with given solvable Galois group. Zbl 0057.27401
Shafarevich, I. R.
27
1954
On some infinite dimensional groups. Zbl 0149.39003
Shafarevich, I. R.
22
1966
A general reciprocity law. Zbl 0036.15901
Shafarevich, I. R.
22
1950
On some infinite-dimensional groups. II. Zbl 0475.14036
Shafarevich, I. R.
21
1981
On some infinite-dimensional groups. II. Zbl 0491.14025
Shafarevich, I. R.
20
1982
Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008
Rudakov, A. N.; Shafarevich, I. R.
17
1979
Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002
Rudakov, A. N.; Shafarevich, I. R.
17
1967
The rank of elliptic curves. Zbl 0168.42201
Tate, J. T.; Shafarevich, I. R.
17
1967
Extensions with given points of ramification. Zbl 0199.09707
Shafarevich, I. R.
17
1964
Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002
Shafarevich, Igor R.
16
2013
On class field towers. Zbl 0148.28101
Golod, E. S.; Shafarevich, I. R.
15
1965
Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803
Kostrikin, A. I.; Shafarevich, I. R.
14
1966
On \(p\)-extensions. Zbl 0041.17101
Shafarevich, I. R.
13
1947
Principal homogeneous spaces defined over a function field. Zbl 0142.18401
Shafarevich, I. R.
12
1964
On \(p\)-extensions. Zbl 0071.03302
Shafarevich, I. R.
10
1956
Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001
Shafarevich, Igor R.; Remizov, Alexey O.
9
2013
The imbedding problem for splitting extensions. Zbl 0085.02602
Shafarevich, I. R.
9
1958
The homology groups of nilpotent algebras. Zbl 0083.03003
Kostrikin, A. I.; Shafarevich, I. R.
9
1957
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
8
1990
Basic algebraic geometry. 2: Schemes amd complex manifolds. 2nd ed., rev. and compl. Zbl 1082.14501
Shafarevich, I. R.
8
1988
Basic algebraic geometry. 1: Varieties in projective space. 2nd ed., rev. and compl. Zbl 1082.14500
Shafarevich, I. R.
8
1988
Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010
Rudakov, A. N.; Shafarevich, I. R.
8
1978
Extensions with given points of ramification. Zbl 0118.27505
Shafarevich, I. R.
8
1963
Principal homogeneous spaces defined over a function field. Zbl 0129.12804
Shafarevich, I. R.
8
1961
Construction of fields of algebraic numbers with given solvable Galois group. Zbl 0071.03307
Shafarevich, I. R.
8
1956
On the normalizability of topological fields. Zbl 0063.06924
Shafarevich, I. R.
8
1943
Basic notions of algebra. Transl. from the Russian by M. Reid. 2nd printing of the 1st ed. 1990. Zbl 0860.16001
Shafarevich, I. R.
7
1997
Algebraic surfaces. Zbl 0733.14015
Iskovskikh, V. A.; Shafarevich, I. R.
7
1989
Basic notions of algebra. Zbl 0655.00002
Shafarevich, I. R.
7
1986
The embedding problem for local fields. Zbl 0093.04404
Demushkin, S. P.; Shafarevich, I. R.
7
1959
Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007
Shafarevic, I. R.
6
1997
Deformations of commutative algebras of class 2. Zbl 0743.13009
Shafarevich, I. R.
6
1990
Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001
Nikulin, V. V.; Shafarevich, I. R.
6
1987
Exponents of elliptic curves. Zbl 0081.15401
Shafarevich, I. R.
6
1957
On the problem of imbedding fields. Zbl 0071.03306
Shafarevich, I. R.
6
1956
Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
5
1999
On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020
Shafarevich, I. R.
5
1996
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
5
1992
Abelian and nonabelian mathematics. Zbl 0733.11043
Shafarevich, I. R.
5
1991
Algebraic surfaces. Zbl 0832.14026
Iskovskikh, V. A.; Shafarevich, I. R.
5
1989
Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001
Nikulin, V. V.; Shafarevich, I. R.
5
1983
Algebraic number field. Zbl 0133.29303
Shafarevich, I. R.
5
1963
On the construction of fields with a given Galois group of order \(l^a\). Zbl 0071.03304
Shafarevich, I. R.
5
1956
A general reciprocity law. Zbl 0071.03303
Shafarevich, I. R.
5
1956
Lüroth’s problem. Zbl 0731.14035
Shafarevich, I. R.
4
1991
Deformations of commutative algebras of class 2. Zbl 0727.13006
Shafarevich, I. R.
4
1990
On factors of a decreasing central series. Zbl 0681.20024
Shafarevich, I. R.
4
1989
The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036
Rudakov, A. N.; Zink, T.; Shafarevich, I. R.
4
1983
Quasi-elliptic surfaces of type K3. Zbl 0404.14012
Rudakov, A. N.; Shafarevich, I. R.
4
1978
Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016
Shafarevitch, I. R.
4
1971
Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002
Shafarevich, I. R.
4
1968
On the problem of imbedding fields. Zbl 0057.03303
Shafarevich, I. R.
4
1954
Neuer Beweis des Kronecker-Weberschen Satzes. Zbl 0053.35501
Shafarevich, I. R.
4
1951
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
3
1996
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
3
1994
Collected mathematical papers. Zbl 0669.12001
Shafarevich, Igor R.
3
1989
Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013
Shafarevich, Igor Rostislavovich
3
1983
Number theory. Zbl 0134.27303
Borewicz, Senon I.; Shafarevich, Igor R.
3
1966
The group of principal homogeneous algebraic manifolds. Zbl 0115.38903
Shafarevich, I. R.
3
1959
Birational equivalence of elliptic curves. Zbl 0081.15304
Shafarevich, I. R.
3
1957
On the construction of fields with a given Galois group of order \(\ell^\alpha\). Zbl 0056.03304
Shafarevich, I. R.
3
1954
On Galois groups of \(y\)-adic fields. Zbl 0063.06925
Shafarevich, I. R.
3
1946
On the problem of the 10th discriminant. Zbl 1360.11119
Shafarevich, I. R.
2
2014
Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501
Shafarevich, Igor R.
2
2005
On the group \(\text{GL}(2,K[t])\). Zbl 1112.14052
Shafarevich, I. R.
2
2004
Degeneration of semisimple algebras. Zbl 1086.14508
Shafarevich, I. R.
2
2001
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1998
Families of reducible algebraic varieties. Zbl 0938.14026
Shafarevich, I. R.
2
1996
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1994
Algebra - 6. Zbl 0698.00022
Gamkrelidze, R. V. (ed.); Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.)
2
1990
Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. Zbl 0674.12001
Shafarevich, I. R.
2
1989
Algebraic geometry - 1. Zbl 0657.00008
Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1988
Algebra - 2. Zbl 0639.00007
Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1988
On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015
Rudakov, A. N.; Shafarevich, I. R.
2
1982
Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008
Rudakov, A. N.; Shafarevich, I. R.
2
1976
Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001
Schafarewitsch, I. R.
2
1972
Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001
Shafarevich, I. R.
2
1972
The imbedding problem for local fields. Zbl 0127.26501
Demuskin, S.; Shafarevich, I. R.
2
1963
The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802
Demushkin, S. P.; Shafarevich, I. R.
2
1962
Collected mathematical papers. Reprint of the 1989 hardback edition. Zbl 1326.01074
Shafarevich, Igor R.
1
2015
Collected mathematical papers. Reprint of the 1989 hardback edition. Zbl 1326.01074
Shafarevich, Igor R.
1
2015
On the problem of the 10th discriminant. Zbl 1360.11119
Shafarevich, I. R.
2
2014
Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004
Shafarevich, Igor R.
55
2013
Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002
Shafarevich, Igor R.
16
2013
Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001
Shafarevich, Igor R.; Remizov, Alexey O.
9
2013
Basic notions of algebra. Translated from the 1986 Russian original by Miles Reid. Reprint of the 1997 English translation. Zbl 1074.16501
Shafarevich, Igor R.
2
2005
On the group \(\text{GL}(2,K[t])\). Zbl 1112.14052
Shafarevich, I. R.
2
2004
Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011
Demidov, Sergey S.; Parshin, Alexei N.; Shafarevich, Igor R.; Petrova, Svetlana S.; Smirnova, Galina S.; Tikhomirov, Vladimir M.; Vandoulakis, Ioannis M.
1
2002
Degeneration of semisimple algebras. Zbl 1086.14508
Shafarevich, I. R.
2
2001
Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516
Vinberg, È. B.; Golod, E. S.; Zel’manov, E. I.; Iskovskikh, V. A.; Latyshev, V. N.; Manin, Yu. I.; Mikhalev, A. V.; Parshin, A. N.; Shafarevich, I. R.; Shmel’kin, A. L.
1
2001
Remembrances of V. A. Rokhlin. Zbl 0990.01513
Shafarevich, I. R.
1
2001
Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
5
1999
Basic notions of algebra. Zbl 1074.16500
Shafarevich, I. R.
1
1999
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1998
Basic notions of algebra. Transl. from the Russian by M. Reid. 2nd printing of the 1st ed. 1990. Zbl 0860.16001
Shafarevich, I. R.
7
1997
Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007
Shafarevic, I. R.
6
1997
On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020
Shafarevich, I. R.
5
1996
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
3
1996
Families of reducible algebraic varieties. Zbl 0938.14026
Shafarevich, I. R.
2
1996
Some families of Abelian surfaces. Zbl 0909.14026
Shafarevich, I. R.
1
1996
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
Gamkrelidze, R. V. (ed.); Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.)
1
1995
Basic algebraic geometry. 1: Varieties in projective space. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14001
Shafarevich, Igor R.
199
1994
Basic algebraic geometry. 2: Schemes amd complex manifolds. Transl. from the Russian by Miles Reid. 2nd, rev. and exp. ed. Zbl 0797.14002
Shafarevich, Igor R.
28
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
3
1994
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1994
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.); Gabriel, P.; Roiter, A. V.
70
1992
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
5
1992
Abelian and nonabelian mathematics. Zbl 0733.11043
Shafarevich, I. R.
5
1991
Lüroth’s problem. Zbl 0731.14035
Shafarevich, I. R.
4
1991
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
1
1991
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
8
1990
Deformations of commutative algebras of class 2. Zbl 0743.13009
Shafarevich, I. R.
6
1990
Deformations of commutative algebras of class 2. Zbl 0727.13006
Shafarevich, I. R.
4
1990
Algebra - 6. Zbl 0698.00022
Gamkrelidze, R. V. (ed.); Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.)
2
1990
Algebraic surfaces. Zbl 0733.14015
Iskovskikh, V. A.; Shafarevich, I. R.
7
1989
Algebraic surfaces. Zbl 0832.14026
Iskovskikh, V. A.; Shafarevich, I. R.
5
1989
On factors of a decreasing central series. Zbl 0681.20024
Shafarevich, I. R.
4
1989
Collected mathematical papers. Zbl 0669.12001
Shafarevich, Igor R.
3
1989
Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. Zbl 0674.12001
Shafarevich, I. R.
2
1989
Basic algebraic geometry. (Osnovy algebraicheskoj geometrii.) Vol. 1: Algebraic manifolds in projective space. (Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve). Vol. 2: Schemes. Complex manifolds. (Tom 2: Skhemy. Kompleksnye mnogoobraziya). 2nd ed., rev. and compl. Zbl 0675.14001
Shafarevich, I. R.
29
1988
Basic algebraic geometry. 2: Schemes amd complex manifolds. 2nd ed., rev. and compl. Zbl 1082.14501
Shafarevich, I. R.
8
1988
Basic algebraic geometry. 1: Varieties in projective space. 2nd ed., rev. and compl. Zbl 1082.14500
Shafarevich, I. R.
8
1988
Algebraic geometry - 1. Zbl 0657.00008
Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1988
Algebra - 2. Zbl 0639.00007
Kostrikin, A. I. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.)
2
1988
Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001
Nikulin, V. V.; Shafarevich, I. R.
6
1987
Basic notions of algebra. Zbl 0655.00002
Shafarevich, I. R.
7
1986
The arithmetic of algebraic varieties (in the algebra section of the Steklov mathematical institute of the academy of sciences). Zbl 0605.14001
Parshin, A. N.; Shafarevich, I. R.
1
1986
On degeneration of K3 surfaces. Zbl 0592.14035
Rudakov, A. N.; Shafarevich, I. R.
1
1986
Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001
Borevich, Z. I.; Shafarevich, I. R.
29
1985
Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001
Nikulin, V. V.; Shafarevich, I. R.
5
1983
The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036
Rudakov, A. N.; Zink, T.; Shafarevich, I. R.
4
1983
Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013
Shafarevich, Igor Rostislavovich
3
1983
On some infinite-dimensional groups. II. Zbl 0491.14025
Shafarevich, I. R.
20
1982
On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015
Rudakov, A. N.; Shafarevich, I. R.
2
1982
Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015
Rudakov, A. N.; Shafarevich, I. R.
29
1981
On some infinite-dimensional groups. II. Zbl 0475.14036
Shafarevich, I. R.
21
1981
On the degeneration of surfaces of type K3. Zbl 0524.14031
Rudakov, A. N.; Shafarevich, I. R.
1
1981
Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008
Rudakov, A. N.; Shafarevich, I. R.
17
1979
Inseparable morphisms of algebraic surfaces. Zbl 0379.14006
Rudakov, A. N.; Shafarevich, I. R.
28
1978
Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010
Rudakov, A. N.; Shafarevich, I. R.
8
1978
Quasi-elliptic surfaces of type K3. Zbl 0404.14012
Rudakov, A. N.; Shafarevich, I. R.
4
1978
Vector fields on elliptic surfaces. Zbl 0424.14010
Rudakov, A. N.; Shafarevich, I. R.
1
1978
Vector fields on elliptic surfaces. Zbl 0411.14008
Rudakov, A. N.; Shafarevich, I. R.
1
1978
Quasielliptische Flächen vom Typ K3. Zbl 0383.14013
Rudakov, A. N.; Shafarevich, I. R.
1
1978
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001
Shafarevich, I. R.
197
1977
Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008
Rudakov, A. N.; Shafarevich, I. R.
2
1976
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001
Shafarevich, I. R.
167
1974
Arithmetic of \(K3\) surfaces. Zbl 0293.14010
Piatetski-Shapiro, Ilya I.; Shafarevich, I. R.
1
1973
A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
76
1972
Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001
Schafarewitsch, I. R.
2
1972
Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001
Shafarevich, I. R.
2
1972
Grundzüge der algebraischen Geometrie. Übersetzung aus dem Russischen von Rudolf Fragel. Zbl 0248.14001
Schafarewitsch, Igor R.
1
1972
Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
43
1971
Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016
Shafarevitch, I. R.
4
1971
Graded Lie algebras of finite characteristic. Zbl 0211.05304
Kostrikin, A. I.; Shafarevich, I. R.
43
1970
Foundations of algebraic geometry. Zbl 0204.21301
Shafarevich, I. R.
37
1969
Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002
Shafarevich, I. R.
4
1968
Number theory. Zbl 0145.04901
Borevich, Z. I.; Chafarevitch, I. R.
30
1967
Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002
Rudakov, A. N.; Shafarevich, I. R.
17
1967
The rank of elliptic curves. Zbl 0168.42201
Tate, J. T.; Shafarevich, I. R.
17
1967
Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902
Borevich, Z. I.; Shafarevich, I. R.
303
1966
Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704
Shafarevich, I. R.
39
1966
On some infinite dimensional groups. Zbl 0149.39003
Shafarevich, I. R.
22
1966
Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803
Kostrikin, A. I.; Shafarevich, I. R.
14
1966
Number theory. Zbl 0134.27303
Borewicz, Senon I.; Shafarevich, Igor R.
3
1966
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.
36
1965
On class field towers. Zbl 0148.28101
Golod, E. S.; Shafarevich, I. R.
15
1965
On the class field tower. Zbl 0136.02602
Golod, E. S.; Shafarevich, I. R.
105
1964
Number theory. Zbl 0121.04202
Borevich, Z. I.; Shafarevich, I. R.
65
1964
Extensions with given points of ramification. Zbl 0199.09707
Shafarevich, I. R.
17
1964
Principal homogeneous spaces defined over a function field. Zbl 0142.18401
Shafarevich, I. R.
12
1964
The main trends of algebraic topology and algebraic geometry. Zbl 0168.43903
Novikov, S. P.; Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
1
1964
Extensions with given points of ramification. Zbl 0118.27505
Shafarevich, I. R.
8
1963
Algebraic number field. Zbl 0133.29303
Shafarevich, I. R.
5
1963
The imbedding problem for local fields. Zbl 0127.26501
Demuskin, S.; Shafarevich, I. R.
2
1963
The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802
Demushkin, S. P.; Shafarevich, I. R.
2
1962
Principal homogeneous spaces defined over a function field. Zbl 0129.12804
Shafarevich, I. R.
8
1961
The embedding problem for local fields. Zbl 0093.04404
Demushkin, S. P.; Shafarevich, I. R.
7
1959
The group of principal homogeneous algebraic manifolds. Zbl 0115.38903
Shafarevich, I. R.
3
1959
The imbedding problem for splitting extensions. Zbl 0085.02602
Shafarevich, I. R.
9
1958
...and 17 more Documents
all top 5

Cited by 2,239 Authors

16 Sendra, Juan Rafael
14 Vostokov, Sergeĭ Vladimirovich
13 Kondō, Shigeyuki
13 Walcher, Sebastian
11 Safey El Din, Mohab
11 Shimada, Ichiro
11 Zarkhin, Yuriĭ Gennad’evich
11 Zhang, Yongzheng
10 Heintz, Joos
10 Katsura, Toshiyuki
10 Matera, Guillermo
9 Nikulin, Vyacheslav Valentinovich
9 Schmidt, Bernhard
9 Simson, Daniel
8 Kollár, János
8 Llibre, Jaume
8 Popov, Vladimir Leonidovich
7 Bürgisser, Peter
7 Furter, Jean-Philippe
7 Grigor’ev, Dmitriĭ Yur’evich
7 Jarden, Moshe
7 Kanel’-Belov, Alekseĭ Yakovlevich
7 Pérez-Díaz, Sonia
7 Skula, Ladislav
7 Smoktunowicz, Agata
7 Sturmfels, Bernd
6 Dolgachev, Igor’ Vladimirovich
6 Friedland, Shmuel
6 Gurak, Stanley J.
6 Horikawa, Eiji
6 Kumar, Shrawan
6 Lawton, Sean
6 Lur’e, B. B.
6 Mináč, Ján
6 Myasnikov, Alexei G.
6 Pardo, Luis Miguel
6 Premet, Alexander A.
6 Shafarevich, Igor’ Rostislavovich
6 Shu, Bin
6 Vorob’ëv, Nikolaĭ N. jun.
5 Boston, Nigel
5 Bruno, Alexander Dmitrievich
5 Coutinho, S. C.
5 Deng, Bangming
5 Herschend, Martin
5 Hulek, Klaus
5 Ishkhanov, V. V.
5 Iyudu, Natalia K.
5 Jeronimo, Gabriela
5 Kang, Ming-Chang
5 Leung, Ka Hin
5 Liedtke, Christian
5 Liu, Wende
5 Nguyêñ Duy Tân
5 Schicho, Josef
5 Shioda, Tetsuji
5 Sonn, Jack
5 Strade, Helmut
4 Artebani, Michela
4 Bank, Bernd
4 Bell, Jason P.
4 Couvreur, Alain
4 Đoković, Dragomir Ž.
4 Giusti, Marc
4 Goeke, Alexandra
4 Hajir, Farshid
4 Hiramine, Yutaka
4 Lang, William E.
4 Madunts, Aleksandra Igor’evna
4 Maire, Christian
4 Markšaitis, Hamletas
4 Mu, Qiang
4 Naldi, Simone
4 Oort, Frans
4 Parshin, Alexei N.
4 Poulakis, Dimitrios
4 Privitelli, Melina
4 Putcha, Mohan S.
4 Reichstein, Zinovy B.
4 Remeslennikov, Vladimir Nikanorovich
4 Russell, Peter K.
4 Sarti, Alessandra
4 Schütt, Matthias
4 Sergeichuk, Vladimir Vasil’evich
4 Shkarin, Stanislav A.
4 Skryabin, Serge
4 Solernó, Pablo
4 Taki, Shingo
4 Valls Anglés, Cláudia
4 Wilson, Robert Lee
4 Yu, Jie-Tai
3 Bainbridge, Matt
3 Barreira, Luis Manuel
3 Bautista, Raymundo
3 Benjamin, Elliot
3 Berend, Daniel
3 Billig, Yuly
3 Blass, Piotr
3 Bochnak, Jacek
3 Bogomolov, Fedor Alekseivich
...and 2,139 more Authors
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Cited in 306 Serials

158 Journal of Algebra
115 Journal of Number Theory
78 Journal of Pure and Applied Algebra
61 Mathematische Annalen
56 Transactions of the American Mathematical Society
53 Inventiones Mathematicae
49 Mathematical Notes
47 Journal of Mathematical Sciences (New York)
45 Journal of Symbolic Computation
43 Advances in Mathematics
43 Compositio Mathematica
39 Linear Algebra and its Applications
31 Communications in Algebra
30 Proceedings of the American Mathematical Society
29 Manuscripta Mathematica
28 Mathematische Zeitschrift
25 Mathematics of Computation
23 Duke Mathematical Journal
21 Journal of Soviet Mathematics
20 Journal de Théorie des Nombres de Bordeaux
19 Siberian Mathematical Journal
17 Annales de l’Institut Fourier
16 Israel Journal of Mathematics
16 Bulletin of the American Mathematical Society. New Series
15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
15 Functional Analysis and its Applications
15 Finite Fields and their Applications
12 Journal of Combinatorial Theory. Series A
12 Proceedings of the Japan Academy. Series A
11 Rocky Mountain Journal of Mathematics
11 Algebra and Logic
11 Archiv der Mathematik
11 Computer Aided Geometric Design
11 Proceedings of the Steklov Institute of Mathematics
10 Tohoku Mathematical Journal. Second Series
10 Journal of Complexity
10 Journal of the American Mathematical Society
10 Izvestiya: Mathematics
9 Linear and Multilinear Algebra
9 Discrete & Computational Geometry
9 Applicable Algebra in Engineering, Communication and Computing
8 Discrete Mathematics
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Theoretical Computer Science
8 International Journal of Algebra and Computation
8 Transformation Groups
8 Geometry & Topology
7 Communications in Mathematical Physics
7 Journal of Mathematical Analysis and Applications
7 Geometriae Dedicata
7 Journal of Functional Analysis
7 Journal für die Reine und Angewandte Mathematik
7 Expositiones Mathematicae
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of High Energy Physics
7 Journal of Algebra and its Applications
7 Chebyshevskiĭ Sbornik
6 Bulletin de la Société Mathématique de France
6 Journal of Computational and Applied Mathematics
6 Michigan Mathematical Journal
6 Physica D
6 Science in China. Series A
6 International Journal of Mathematics
6 Designs, Codes and Cryptography
6 Computational Complexity
6 Journal of Algebraic Geometry
6 St. Petersburg Mathematical Journal
6 Algebras and Representation Theory
6 Journal of the European Mathematical Society (JEMS)
5 Russian Mathematical Surveys
5 Journal of Geometry and Physics
5 Acta Mathematica
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal of Differential Equations
5 Mathematische Nachrichten
5 Mathematica Slovaca
5 Osaka Journal of Mathematics
5 Rendiconti del Seminario Matematico della Università di Padova
5 Topology and its Applications
5 Advances in Applied Mathematics
5 Systems & Control Letters
5 Acta Applicandae Mathematicae
5 Annals of Pure and Applied Logic
5 Geometric and Functional Analysis. GAFA
5 Russian Mathematics
5 Selecta Mathematica. New Series
5 Bulletin des Sciences Mathématiques
5 Proceedings of the Japan Academy
5 Frontiers of Mathematics in China
5 Science China. Mathematics
4 Letters in Mathematical Physics
4 Lithuanian Mathematical Journal
4 Theoretical and Mathematical Physics
4 Ukrainian Mathematical Journal
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Nagoya Mathematical Journal
4 European Journal of Combinatorics
4 Combinatorica
4 Acta Mathematica Hungarica
4 Differential Geometry and its Applications
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Cited in 62 Fields

745 Algebraic geometry (14-XX)
527 Number theory (11-XX)
188 Associative rings and algebras (16-XX)
179 Group theory and generalizations (20-XX)
146 Commutative algebra (13-XX)
144 Field theory and polynomials (12-XX)
133 Nonassociative rings and algebras (17-XX)
130 Several complex variables and analytic spaces (32-XX)
100 Linear and multilinear algebra; matrix theory (15-XX)
97 Computer science (68-XX)
72 Combinatorics (05-XX)
56 Dynamical systems and ergodic theory (37-XX)
53 Differential geometry (53-XX)
51 Numerical analysis (65-XX)
49 Manifolds and cell complexes (57-XX)
41 Mathematical logic and foundations (03-XX)
41 Topological groups, Lie groups (22-XX)
37 Convex and discrete geometry (52-XX)
35 Category theory; homological algebra (18-XX)
35 Ordinary differential equations (34-XX)
33 Information and communication theory, circuits (94-XX)
29 Quantum theory (81-XX)
28 Global analysis, analysis on manifolds (58-XX)
27 Functions of a complex variable (30-XX)
27 Geometry (51-XX)
21 Functional analysis (46-XX)
19 History and biography (01-XX)
19 Operator theory (47-XX)
19 Systems theory; control (93-XX)
18 Algebraic topology (55-XX)
15 Order, lattices, ordered algebraic structures (06-XX)
15 Mechanics of particles and systems (70-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 Partial differential equations (35-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 General algebraic systems (08-XX)
12 \(K\)-theory (19-XX)
11 Real functions (26-XX)
10 Operations research, mathematical programming (90-XX)
9 Relativity and gravitational theory (83-XX)
9 Biology and other natural sciences (92-XX)
8 Special functions (33-XX)
8 Approximations and expansions (41-XX)
8 Mechanics of deformable solids (74-XX)
7 Measure and integration (28-XX)
7 Abstract harmonic analysis (43-XX)
5 Difference and functional equations (39-XX)
5 Probability theory and stochastic processes (60-XX)
5 Fluid mechanics (76-XX)
4 General and overarching topics; collections (00-XX)
4 Integral transforms, operational calculus (44-XX)
4 General topology (54-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Potential theory (31-XX)
2 Statistics (62-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mathematics education (97-XX)

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