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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: Shafarevich, I. R.; Shafarevich, Igor R.; Schafarewitsch, I. R.; Shafarevich, Igor Rostislavovich; Schafarewitsch, Igor R.; Schafarewitch, I. R.; Chafarevitch, I. R.; Shafarevitch, I. R.; Shafarevic, I. R.
Further Spellings: Шафаревич Игорь Ростиславович
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
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Co-Authors

92 single-authored
30 Gamkrelidze, Revaz Valerianovich
24 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
4 Shokurov, Vyacheslav Vladimirovich
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 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 Koch, Helmut
2 Nesterenko, Yuriĭ Valentinovich
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 Zhizhchenko, Alexey B.
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 Fel’dman, Naum Il’ich
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 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
1 Onishchik, Arkadiĭ L’vovich
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 Vinberg, Èrnest Borisovich
1 Zel’manov, Efim Isaakovich
1 Zheglov, Alexander B.
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Serials

18 Encyclopaedia of Mathematical Sciences
17 Russian Mathematical Surveys
14 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
13 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
13 Translations. Series 2. American Mathematical Society
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 Mathematik und ihre Anwendungen in Physik und Technik
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

118 Publications have been cited 2,078 times in 1,876 Documents Cited by Year
Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902
Borevich, Z. I.; Shafarevich, I. R.
258
1966
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001
Shafarevich, I. R.
195
1977
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001
Shafarevich, I. R.
153
1974
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.
129
1994
On the class field tower. Zbl 0136.02602
Golod, E. S.; Shafarevich, I. R.
103
1964
A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
71
1972
Number theory. (Теория чисел.) Zbl 0121.04202
Borevich, Z. I.; Shafarevich, I. R.
63
1964
Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004
Shafarevich, Igor R.
63
2013
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
62
1992
Graded Lie algebras of finite characteristic. Zbl 0211.05304
Kostrikin, A. I.; Shafarevich, I. R.
44
1970
Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
42
1971
Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704
Shafarevich, I. R.
40
1966
Foundations of algebraic geometry. Zbl 0204.21301
Shafarevich, I. R.
37
1969
Galois theory of \(p\)-extensions. (Galoissche Theorie der \(p\)-Erweiterungen. Mit einem Geleitwort von I. R. Shafarevich.) Zbl 0216.04704
Koch, H.
36
1970
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.
35
1965
Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001
Borevich, Z. I.; Shafarevich, I. R.
32
1985
Inseparable morphisms of algebraic surfaces. Zbl 0379.14006
Rudakov, A. N.; Shafarevich, I. R.
32
1978
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
Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015
Rudakov, A. N.; Shafarevich, I. R.
28
1981
Construction of algebraic number fields with given solvable Galois group. Zbl 0057.27401
Shafarevich, I. R.
28
1954
Number theory. (Théorie des nombres. Traduit par Myriam et Jean-Luc Verlay.) Zbl 0145.04901
Borevich, Z. I.; Chafarevitch, I. R.
26
1967
On some infinite-dimensional groups. II. Zbl 0475.14036
Shafarevich, I. R.
24
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.
24
1994
A general reciprocity law. Zbl 0036.15901
Shafarevich, I. R.
23
1950
On some infinite-dimensional groups. II. Zbl 0491.14025
Shafarevich, I. R.
19
1982
Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008
Rudakov, A. N.; Shafarevich, I. R.
19
1979
Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002
Shafarevich, Igor R.
19
2013
On some infinite dimensional groups. Zbl 0149.39003
Shafarevich, I. R.
18
1966
The rank of elliptic curves. Zbl 0168.42201
Tate, J. T.; Shafarevich, I. R.
17
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
On class field towers. Zbl 0148.28101
Golod, E. S.; Shafarevich, I. R.
16
1965
Extensions with given points of ramification. Zbl 0199.09707
Shafarevich, I. R.
15
1964
On \(p\)-extensions. Zbl 0041.17101
Shafarevich, I. R.
14
1947
Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803
Kostrikin, A. I.; Shafarevich, I. R.
14
1966
Principal homogeneous spaces defined over a function field. Zbl 0142.18401
Shafarevich, I. R.
11
1964
The homology groups of nilpotent algebras. Zbl 0083.03003
Kostrikin, A. I.; Shafarevich, I. R.
10
1957
On \(p\)-extensions. Zbl 0071.03302
Shafarevich, I. R.
10
1956
Deformations of commutative algebras of class 2. Zbl 0743.13009
Shafarevich, I. R.
9
1990
Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010
Rudakov, A. N.; Shafarevich, I. R.
9
1978
The imbedding problem for splitting extensions. Zbl 0085.02602
Shafarevich, I. R.
9
1958
Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004
Fel’dman, N. I.; Nesterenko, Yu. V.
9
1998
Basic algebraic geometry. 1: Varieties in projective space. 2nd ed., rev. and compl. (Osnovy algebraicheskoj geometrii. Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve.) Zbl 1082.14500
Shafarevich, I. R.
8
1988
On the normalizability of topological fields. Zbl 0063.06924
Shafarevich, I. R.
8
1943
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
Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001
Shafarevich, Igor R.; Remizov, Alexey O.
8
2013
The embedding problem for local fields. (Das Einbettungsproblem für lokale Körper.) Zbl 0093.04404
Demushkin, S. P.; Shafarevich, I. R.
7
1959
Basic notions of algebra. Zbl 0655.00002
Shafarevich, I. R.
7
1986
Algebraic surfaces. Zbl 0733.14015
Iskovskikh, V. A.; Shafarevich, I. R.
7
1989
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
Basic algebraic geometry. 2: Schemes amd complex manifolds. 2nd ed., rev. and compl. (Osnovy algebraicheskoj geometrii. Tom 2: Skhemy. Kompleksnye mnogoobraziya.) Zbl 1082.14501
Shafarevich, I. R.
6
1988
Exponents of elliptic curves. Zbl 0081.15401
Shafarevich, I. R.
6
1957
Extensions with given points of ramification. (Extensions à points de ramification donnés.) Zbl 0118.27505
Shafarevich, I. R.
6
1963
Algebraic surfaces. Zbl 0832.14026
Iskovskikh, V. A.; Shafarevich, I. R.
6
1989
Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014
6
1999
On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020
Shafarevich, I. R.
6
1996
Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007
Shafarevic, I. R.
6
1997
On the problem of imbedding fields. Zbl 0071.03306
Shafarevich, I. R.
6
1956
Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001
Nikulin, V. V.; Shafarevich, I. R.
5
1987
Quasi-elliptic surfaces of type K3. Zbl 0404.14012
Rudakov, A. N.; Shafarevich, I. R.
5
1978
Algebraic number field. Zbl 0133.29303
Shafarevich, I. R.
5
1963
Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001
Nikulin, V. V.; Shafarevich, I. R.
5
1983
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
5
1990
Abelian and nonabelian mathematics. Zbl 0733.11043
Shafarevich, I. R.
5
1991
A general reciprocity law. Zbl 0071.03303
Shafarevich, I. R.
5
1956
On the construction of fields with a given Galois group of order \(l^a\). Zbl 0071.03304
Shafarevich, I. R.
5
1956
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
4
1992
Number theory. (Zahlentheorie) (Aus dem Russischen übersetzt von Helmut Koch.) Zbl 0134.27303
Borewicz, Senon I.; Shafarevich, Igor R.
4
1966
Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002
Shafarevich, I. R.
4
1968
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
Lüroth’s problem. Zbl 0731.14035
Shafarevich, I. R.
4
1991
Neuer Beweis des Kronecker-Weberschen Satzes. Zbl 0053.35501
Shafarevich, I. R.
4
1951
On the problem of imbedding fields. (Über das Problem der Einbettung von Körpern.) Zbl 0057.03303
Shafarevich, I. R.
4
1954
Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016
Shafarevitch, I. R.
4
1971
On Galois groups of \(y\)-adic fields. Zbl 0063.06925
Shafarevich, I. R.
3
1946
Families of reducible algebraic varieties. Zbl 0938.14026
Shafarevich, I. R.
3
1996
Birational equivalence of elliptic curves. Zbl 0081.15304
Shafarevich, I. R.
3
1957
The group of principal homogeneous algebraic manifolds. Zbl 0115.38903
Shafarevich, I. R.
3
1959
Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013
Shafarevich, Igor Rostislavovich
3
1983
Deformations of commutative algebras of class 2. Zbl 0727.13006
Shafarevich, I. R.
3
1990
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
3
1994
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
3
1998
On the construction of fields with a given Galois group of order \(\ell^\alpha\). (Über die Konstruktion von Körpern mit vorgegebener Galoisscher Gruppe der Ordnung \(\ell^\alpha\).) Zbl 0056.03304
Shafarevich, I. R.
3
1954
Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. (Noţiunile fundamentale ale algebrei.) Zbl 0674.12001
Shafarevich, I. R.
2
1989
Collected mathematical papers. Zbl 0669.12001
Shafarevich, Igor R.
2
1989
Algebra - 2. (Algebra - 2.) Zbl 0639.00007
2
1988
Degeneration of semisimple algebras. Zbl 1086.14508
Shafarevich, I. R.
2
2001
On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015
Rudakov, A. N.; Shafarevich, I. R.
2
1982
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
On the problem of the 10th discriminant. Zbl 1360.11119
Shafarevich, I. R.
2
2014
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
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
2
1994
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
Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001
Shafarevich, I. R.
2
1972
Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001
Schafarewitsch, I. R.
2
1972
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1
1991
Algebra - 6. (Algebra - 6.) Zbl 0698.00022
1
1990
On degeneration of K3 surfaces. Zbl 0592.14035
Rudakov, A. N.; Shafarevich, I. R.
1
1986
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.
63
2013
Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002
Shafarevich, Igor R.
19
2013
Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001
Shafarevich, Igor R.; Remizov, Alexey O.
8
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.
1
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
Remembrances of V. A. Rokhlin. Zbl 0990.01513
Shafarevich, I. R.
1
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
Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014
6
1999
Basic notions of algebra. (Osnovnye ponyatiya algebry.) Zbl 1074.16500
Shafarevich, I. R.
1
1999
Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004
Fel’dman, N. I.; Nesterenko, Yu. V.
9
1998
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
3
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.
6
1996
Families of reducible algebraic varieties. Zbl 0938.14026
Shafarevich, I. R.
3
1996
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
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
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.
129
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.
24
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
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
2
1994
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
62
1992
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
4
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
1
1991
Deformations of commutative algebras of class 2. Zbl 0743.13009
Shafarevich, I. R.
9
1990
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
5
1990
Deformations of commutative algebras of class 2. Zbl 0727.13006
Shafarevich, I. R.
3
1990
Algebra - 6. (Algebra - 6.) Zbl 0698.00022
1
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.
6
1989
On factors of a decreasing central series. Zbl 0681.20024
Shafarevich, I. R.
4
1989
Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. (Noţiunile fundamentale ale algebrei.) Zbl 0674.12001
Shafarevich, I. R.
2
1989
Collected mathematical papers. Zbl 0669.12001
Shafarevich, Igor 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. 1: Varieties in projective space. 2nd ed., rev. and compl. (Osnovy algebraicheskoj geometrii. Tom 1: Algebraicheskie mnogoobraziya v proektivnom prostranstve.) Zbl 1082.14500
Shafarevich, I. R.
8
1988
Basic algebraic geometry. 2: Schemes amd complex manifolds. 2nd ed., rev. and compl. (Osnovy algebraicheskoj geometrii. Tom 2: Skhemy. Kompleksnye mnogoobraziya.) Zbl 1082.14501
Shafarevich, I. R.
6
1988
Algebra - 2. (Algebra - 2.) Zbl 0639.00007
2
1988
Riemann surfaces and algebraic curves. Introduction by I. R. Shafarevich. Zbl 0682.14015
Shokurov, V. V.
1
1988
Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001
Nikulin, V. V.; Shafarevich, I. R.
5
1987
Basic notions of algebra. Zbl 0655.00002
Shafarevich, I. R.
7
1986
On degeneration of K3 surfaces. Zbl 0592.14035
Rudakov, A. N.; Shafarevich, I. R.
1
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
Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001
Borevich, Z. I.; Shafarevich, I. R.
32
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.
19
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.
28
1981
On some infinite-dimensional groups. II. Zbl 0475.14036
Shafarevich, I. R.
24
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.
19
1979
Inseparable morphisms of algebraic surfaces. Zbl 0379.14006
Rudakov, A. N.; Shafarevich, I. R.
32
1978
Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010
Rudakov, A. N.; Shafarevich, I. R.
9
1978
Quasi-elliptic surfaces of type K3. Zbl 0404.14012
Rudakov, A. N.; Shafarevich, I. R.
5
1978
Vector fields on elliptic surfaces. Zbl 0411.14008
Rudakov, A. N.; Shafarevich, I. R.
1
1978
Vector fields on elliptic surfaces. Zbl 0424.14010
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.
195
1977
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001
Shafarevich, I. R.
153
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.
71
1972
Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001
Shafarevich, I. R.
2
1972
Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001
Schafarewitsch, 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.
42
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.
44
1970
Galois theory of \(p\)-extensions. (Galoissche Theorie der \(p\)-Erweiterungen. Mit einem Geleitwort von I. R. Shafarevich.) Zbl 0216.04704
Koch, H.
36
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. (Théorie des nombres. Traduit par Myriam et Jean-Luc Verlay.) Zbl 0145.04901
Borevich, Z. I.; Chafarevitch, I. R.
26
1967
The rank of elliptic curves. Zbl 0168.42201
Tate, J. T.; Shafarevich, I. R.
17
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
Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902
Borevich, Z. I.; Shafarevich, I. R.
258
1966
Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704
Shafarevich, I. R.
40
1966
On some infinite dimensional groups. Zbl 0149.39003
Shafarevich, I. R.
18
1966
Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803
Kostrikin, A. I.; Shafarevich, I. R.
14
1966
Number theory. (Zahlentheorie) (Aus dem Russischen übersetzt von Helmut Koch.) Zbl 0134.27303
Borewicz, Senon I.; Shafarevich, Igor R.
4
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.
35
1965
On class field towers. Zbl 0148.28101
Golod, E. S.; Shafarevich, I. R.
16
1965
On the class field tower. Zbl 0136.02602
Golod, E. S.; Shafarevich, I. R.
103
1964
Number theory. (Теория чисел.) Zbl 0121.04202
Borevich, Z. I.; Shafarevich, I. R.
63
1964
Extensions with given points of ramification. Zbl 0199.09707
Shafarevich, I. R.
15
1964
Principal homogeneous spaces defined over a function field. Zbl 0142.18401
Shafarevich, I. R.
11
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. (Extensions à points de ramification donnés.) Zbl 0118.27505
Shafarevich, I. R.
6
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. (Das Einbettungsproblem für lokale Körper.) 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
...and 18 more Documents
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Cited by 2,186 Authors

15 Kondō, Shigeyuki
14 Vostokov, Sergeĭ Vladimirovich
14 Walcher, Sebastian
13 Zarkhin, Yuriĭ Gennad’evich
12 Safey El Din, Mohab
12 Sendra, Juan Rafael
11 Katsura, Toshiyuki
11 Zhang, Yongzheng
9 Kanel’-Belov, Alekseĭ Yakovlevich
9 Nikulin, Vyacheslav Valentinovich
9 Popov, Vladimir Leonidovich
9 Shimada, Ichiro
8 Heintz, Joos
8 Llibre, Jaume
7 Furter, Jean-Philippe
7 Grigor’ev, Dmitriĭ Yur’evich
7 Schmidt, Bernhard
7 Shu, Bin
7 Skula, Ladislav
7 Smoktunowicz, Agata
6 Boston, Nigel
6 Bruno, Alexander Dmitrievich
6 Bürgisser, Peter
6 Dolgachev, Igor’ Vladimirovich
6 Horikawa, Eiji
6 Jarden, Moshe
6 Lur’e, Boris Beniaminovich
6 Mináč, Ján
6 Myasnikov, Alexei G.
6 Pardo, Luis Miguel
6 Premet, Alexander A.
6 Shafarevich, Igor’ Rostislavovich
6 Simson, Daniel
6 Sturmfels, Bernd
5 Coutinho, S. C.
5 Deng, Bangming
5 Hulek, Klaus
5 Ishkhanov, V. V.
5 Iyudu, Natalia K.
5 Kollár, János
5 Leung, Ka Hin
5 Liu, Wende
5 Madunts, Aleksandra Igor’evna
5 Matera, Guillermo
5 Nguyêñ Duy Tân
5 Schicho, Josef
5 Schütt, Matthias
5 Shioda, Tetsuji
5 Sonn, Jack
5 Strade, Helmut
5 Vorob’ëv, Nikolaĭ N. jun.
4 Artebani, Michela
4 Bank, Bernd
4 Bell, Jason P.
4 Đoković, Dragomir Ž.
4 Friedland, Shmuel
4 Giusti, Marc
4 Goeke, Alexandra
4 Herschend, Martin
4 Jeronimo, Gabriela
4 Kang, Ming-Chang
4 Kumar, Shrawan
4 Lang, William E.
4 Lawton, Sean
4 Liedtke, Christian
4 Markšaitis, Hamletas
4 Mu, Qiang
4 Naldi, Simone
4 Oort, Frans
4 Parshin, Alexei N.
4 Poulakis, Dimitrios
4 Prokhorov, Yuriĭ Gennad’evich
4 Putcha, Mohan S.
4 Reichstein, Zinovy B.
4 Remeslennikov, Vladimir Nikanorovich
4 Russell, Peter K.
4 Sarti, Alessandra
4 Shkarin, Stanislav A.
4 Skryabin, Serge
4 Solernó, Pablo
4 Valls Anglés, Cláudia
4 Wilson, Robert Lee
4 Yu, Jie-Tai
3 Arzhantsev, Ivan Vladimirovich
3 Bainbridge, Matt
3 Barreira, Luis Manuel
3 Benjamin, Elliot
3 Berend, Daniel
3 Billig, Yuly
3 Blass, Piotr
3 Bochnak, Jacek
3 Bogomolov, Fedor Alekseivich
3 Brudnyi, Alexander
3 Brüstle, Thomas
3 Checcoli, Sara
3 Chen, Rong
3 Choi, Seul Hee
3 Couvreur, Alain
3 Cucker, Felipe
3 Daniyarova, Evelina Yur’Evna
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Cited in 325 Serials

147 Journal of Algebra
73 Journal of Pure and Applied Algebra
63 Journal of Number Theory
62 Mathematische Annalen
54 Inventiones Mathematicae
52 Transactions of the American Mathematical Society
49 Mathematical Notes
49 Journal of Mathematical Sciences (New York)
43 Compositio Mathematica
42 Advances in Mathematics
35 Communications in Algebra
35 Journal of Symbolic Computation
31 Manuscripta Mathematica
31 Proceedings of the American Mathematical Society
29 Mathematische Zeitschrift
25 Mathematics of Computation
25 Linear Algebra and its Applications
23 Duke Mathematical Journal
21 Journal of Soviet Mathematics
19 Siberian Mathematical Journal
19 Journal de Théorie des Nombres de Bordeaux
18 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
12 Proceedings of the Japan Academy. Series A
12 Izvestiya: Mathematics
11 Rocky Mountain Journal of Mathematics
11 Algebra and Logic
11 Archiv der Mathematik
11 Discrete & Computational Geometry
11 Proceedings of the Steklov Institute of Mathematics
10 Tohoku Mathematical Journal. Second Series
10 Journal of the American Mathematical Society
9 Linear and Multilinear Algebra
9 Applicable Algebra in Engineering, Communication and Computing
9 Finite Fields and their Applications
9 Selecta Mathematica. New Series
9 Transformation Groups
8 Journal of Combinatorial Theory. Series A
8 Computer Aided Geometric Design
8 Journal of Complexity
8 Geometry & Topology
7 Communications in Mathematical Physics
7 Discrete Mathematics
7 Journal of Mathematical Analysis and Applications
7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
7 Geometriae Dedicata
7 Journal für die Reine und Angewandte Mathematik
7 International Journal of Algebra and Computation
7 Designs, Codes and Cryptography
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Algebra and its Applications
7 International Journal of Number Theory
7 Chebyshevskiĭ Sbornik
6 Russian Mathematical Surveys
6 Bulletin de la Société Mathématique de France
6 Journal of Functional Analysis
6 Journal of the Mathematical Society of Japan
6 Mathematica Slovaca
6 Michigan Mathematical Journal
6 Acta Mathematica Hungarica
6 Physica D
6 Science in China. Series A
6 International Journal of Mathematics
6 Computational Complexity
6 St. Petersburg Mathematical Journal
6 Algebras and Representation Theory
6 Journal of the European Mathematical Society (JEMS)
6 Journal of High Energy Physics
6 Frontiers of Mathematics in China
5 Lithuanian Mathematical Journal
5 Acta Mathematica
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal of Differential Equations
5 Mathematische Nachrichten
5 Osaka Journal of Mathematics
5 Rendiconti del Seminario Matematico della Università di Padova
5 Theoretical Computer Science
5 Advances in Applied Mathematics
5 Acta Applicandae Mathematicae
5 Geometric and Functional Analysis. GAFA
5 Russian Mathematics
5 Journal of Algebraic Geometry
5 The Ramanujan Journal
5 Lobachevskii Journal of Mathematics
5 Proceedings of the Japan Academy
5 Science China. Mathematics
5 European Journal of Mathematics
4 Letters in Mathematical Physics
4 Theoretical and Mathematical Physics
4 Ukrainian Mathematical Journal
4 Journal of Geometry and Physics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Journal of Computational and Applied Mathematics
4 Kodai Mathematical Journal
4 Nagoya Mathematical Journal
4 Results in Mathematics
4 Topology and its Applications
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Cited in 62 Fields

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

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