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Shafarevich, Igor’ Rostislavovich (b. 1923 d. 2017)

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, Alekseĭ Nikolaevich
19 Kostrikin, Alekseĭ Ivanovich
18 Rudakov, Alexei Nikolaevich
8 Iskovskikh, Vasiliĭ Alekseevich
8 Manin, Yuriĭ 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, Boris 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 Mikhaĭlovich
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 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 Pure and Applied Mathematics (Academic Press)
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

122 Publications have been cited 2,343 times in 2,166 Documents Cited by Year
Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902
Borevich, Z. I.; Shafarevich, I. R.
342
1966
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001
Shafarevich, I. R.
207
1977
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001
Shafarevich, I. R.
164
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.
145
1994
On the class field tower. Zbl 0136.02602
Golod, E. S.; Shafarevich, I. R.
111
1964
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
91
1992
Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004
Shafarevich, Igor R.
78
2013
A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
75
1972
Number theory. (Теория чисел.) Zbl 0121.04202
Borevich, Z. I.; Shafarevich, I. R.
72
1964
Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021
Pyatetskij-Shapiro, I. I.; Shafarevich, I. R.
60
1971
Graded Lie algebras of finite characteristic. Zbl 0211.05304
Kostrikin, A. I.; Shafarevich, I. R.
46
1970
Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704
Shafarevich, I. R.
42
1966
Galois theory of \(p\)-extensions. (Galoissche Theorie der \(p\)-Erweiterungen. Mit einem Geleitwort von I. R. Shafarevich.) Zbl 0216.04704
Koch, H.
42
1970
Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001
Borevich, Z. I.; Shafarevich, I. R.
41
1985
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
Foundations of algebraic geometry. Zbl 0204.21301
Shafarevich, I. R.
38
1969
Inseparable morphisms of algebraic surfaces. Zbl 0379.14006
Rudakov, A. N.; Shafarevich, I. R.
36
1978
Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015
Rudakov, A. N.; Shafarevich, I. R.
32
1981
Construction of algebraic number fields with given solvable Galois group. Zbl 0057.27401
Shafarevich, I. R.
31
1954
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. (Théorie des nombres. Traduit par Myriam et Jean-Luc Verlay.) Zbl 0145.04901
Borevich, Z. I.; Chafarevitch, I. R.
28
1967
Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002
Shafarevich, Igor R.
28
2013
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.
27
1994
On some infinite-dimensional groups. II. Zbl 0475.14036
Shafarevich, I. R.
26
1981
A general reciprocity law. Zbl 0036.15901
Shafarevich, I. R.
23
1950
On some infinite dimensional groups. Zbl 0149.39003
Shafarevich, I. R.
22
1966
Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008
Rudakov, A. N.; Shafarevich, I. R.
22
1979
On some infinite-dimensional groups. II. Zbl 0491.14025
Shafarevich, I. R.
20
1982
Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002
Rudakov, A. N.; Shafarevich, I. R.
19
1967
The rank of elliptic curves. Zbl 0168.42201
Tate, J. T.; Shafarevich, I. R.
18
1967
On class field towers. Zbl 0148.28101
Golod, E. S.; Shafarevich, I. R.
17
1965
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.
16
1998
Extensions with given points of ramification. Zbl 0199.09707
Shafarevich, I. R.
16
1964
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.
15
1988
Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803
Kostrikin, A. I.; Shafarevich, I. R.
15
1966
On \(p\)-extensions. Zbl 0041.17101
Shafarevich, I. R.
15
1947
Deformations of commutative algebras of class 2. Zbl 0743.13009
Shafarevich, I. R.
13
1990
Principal homogeneous spaces defined over a function field. Zbl 0142.18401
Shafarevich, I. R.
12
1964
Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010
Rudakov, A. N.; Shafarevich, I. R.
12
1978
The homology groups of nilpotent algebras. Zbl 0083.03003
Kostrikin, A. I.; Shafarevich, I. R.
12
1957
Basic notions of algebra. Zbl 0655.00002
Shafarevich, I. R.
10
1986
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.
10
2013
The imbedding problem for splitting extensions. Zbl 0085.02602
Shafarevich, I. R.
9
1958
Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001
Nikulin, V. V.; Shafarevich, I. R.
8
1987
Principal homogeneous spaces defined over a function field. Zbl 0129.12804
Shafarevich, I. R.
8
1961
On the normalizability of topological fields. Zbl 0063.06924
Shafarevich, I. R.
8
1943
Construction of fields of algebraic numbers with given solvable Galois group. Zbl 0071.03307
Shafarevich, I. R.
8
1956
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
The embedding problem for local fields. (Das Einbettungsproblem für lokale Körper.) Zbl 0093.04404
Demushkin, S. P.; Shafarevich, I. R.
7
1959
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
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
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
Extensions with given points of ramification. (Extensions à points de ramification donnés.) Zbl 0118.27505
Shafarevich, I. R.
6
1963
On the problem of imbedding fields. Zbl 0071.03306
Shafarevich, I. R.
6
1956
Exponents of elliptic curves. Zbl 0081.15401
Shafarevich, I. R.
6
1957
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
6
1990
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
5
1992
On factors of a decreasing central series. Zbl 0681.20024
Shafarevich, I. R.
5
1989
Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016
Shafarevitch, I. R.
5
1971
Algebraic number field. Zbl 0133.29303
Shafarevich, I. R.
5
1963
Number theory. (Zahlentheorie) (Aus dem Russischen übersetzt von Helmut Koch.) Zbl 0134.27303
Borewicz, Senon I.; Shafarevich, Igor R.
5
1966
Quasi-elliptic surfaces of type K3. Zbl 0404.14012
Rudakov, A. N.; Shafarevich, I. R.
5
1978
The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036
Rudakov, A. N.; Zink, T.; Shafarevich, I. R.
5
1983
Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001
Nikulin, V. V.; Shafarevich, I. R.
5
1983
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 IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
4
1998
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
4
1994
Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002
Shafarevich, I. R.
4
1968
Neuer Beweis des Kronecker-Weberschen Satzes. Zbl 0053.35501
Shafarevich, I. R.
4
1951
Deformations of commutative algebras of class 2. Zbl 0727.13006
Shafarevich, I. R.
4
1990
Lüroth’s problem. Zbl 0731.14035
Shafarevich, I. R.
4
1991
Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008
Rudakov, A. N.; Shafarevich, I. R.
4
1976
On the problem of imbedding fields. (Über das Problem der Einbettung von Körpern.) Zbl 0057.03303
Shafarevich, I. R.
4
1954
Families of reducible algebraic varieties. Zbl 0938.14026
Shafarevich, I. R.
3
1996
The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802
Demushkin, S. P.; Shafarevich, I. R.
3
1962
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
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
On Galois groups of \(y\)-adic fields. Zbl 0063.06925
Shafarevich, I. R.
3
1946
Birational equivalence of elliptic curves. Zbl 0081.15304
Shafarevich, I. R.
3
1957
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. Translated from the Russian. Zbl 0669.12001
Shafarevich, Igor R.
2
1989
Algebra - 2. (Algebra - 2.) Zbl 0639.00007
2
1988
Some families of Abelian surfaces. Zbl 0909.14026
Shafarevich, I. R.
2
1996
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
2
1995
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
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.
2
1986
Degeneration of semisimple algebras. Zbl 1086.14508
Shafarevich, I. R.
2
2001
On the problem of the 10th discriminant. Zbl 1360.11119
Shafarevich, I. R.
2
2014
The imbedding problem for local fields. Zbl 0127.26501
Demuskin, S.; Shafarevich, I. R.
2
1963
On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015
Rudakov, A. N.; Shafarevich, I. R.
2
1982
Vector fields on elliptic surfaces. Zbl 0411.14008
Rudakov, A. N.; Shafarevich, I. R.
2
1978
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.
78
2013
Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002
Shafarevich, Igor R.
28
2013
Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001
Shafarevich, Igor R.; Remizov, Alexey O.
10
2013
Harmony in algebra (on the centenary of the birth of Dmitriĭ Konstantinovich Faddeev, Corresponding Member of the Academy of Sciences of the USSR). Zbl 1324.01025
Vostokov, S. V.; Shafarevich, I. R.
1
2008
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.
16
1998
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
4
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
Some families of Abelian surfaces. Zbl 0909.14026
Shafarevich, I. R.
2
1996
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
2
1996
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
2
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.
145
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.
27
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
4
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 VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034
1
1993
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
91
1992
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
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
1
1991
Deformations of commutative algebras of class 2. Zbl 0743.13009
Shafarevich, I. R.
13
1990
Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001
Shafarevich, I. R.
6
1990
Deformations of commutative algebras of class 2. Zbl 0727.13006
Shafarevich, I. R.
4
1990
Dimitrij Konstantinovich Faddeev. Zbl 0744.01027
Shafarevich, I. R.
1
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.
5
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. Translated from the Russian. 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.
15
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.
8
1987
Basic notions of algebra. Zbl 0655.00002
Shafarevich, I. R.
10
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.
2
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.
41
1985
The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036
Rudakov, A. N.; Zink, T.; Shafarevich, I. R.
5
1983
Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001
Nikulin, V. V.; Shafarevich, I. R.
5
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.
32
1981
On some infinite-dimensional groups. II. Zbl 0475.14036
Shafarevich, I. R.
26
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.
22
1979
Inseparable morphisms of algebraic surfaces. Zbl 0379.14006
Rudakov, A. N.; Shafarevich, I. R.
36
1978
Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010
Rudakov, A. N.; Shafarevich, I. R.
12
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.
2
1978
Quasielliptische Flächen vom Typ K3. Zbl 0383.14013
Rudakov, A. N.; Shafarevich, I. R.
1
1978
Vector fields on elliptic surfaces. Zbl 0424.14010
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.
207
1977
Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008
Rudakov, A. N.; Shafarevich, I. R.
4
1976
Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001
Shafarevich, I. R.
164
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.
75
1972
Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001
Schafarewitsch, I. R.
2
1972
Foundations of algebraic geometry. (Основы алгебраической геометрии) (Grundlagen der algebraischen Geometrie.) 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.
60
1971
Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016
Shafarevitch, I. R.
5
1971
Graded Lie algebras of finite characteristic. Zbl 0211.05304
Kostrikin, A. I.; Shafarevich, I. R.
46
1970
Galois theory of \(p\)-extensions. (Galoissche Theorie der \(p\)-Erweiterungen. Mit einem Geleitwort von I. R. Shafarevich.) Zbl 0216.04704
Koch, H.
42
1970
Foundations of algebraic geometry. Zbl 0204.21301
Shafarevich, I. R.
38
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.
28
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.
19
1967
The rank of elliptic curves. Zbl 0168.42201
Tate, J. T.; Shafarevich, I. R.
18
1967
Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902
Borevich, Z. I.; Shafarevich, I. R.
342
1966
Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704
Shafarevich, I. R.
42
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.
15
1966
Number theory. (Zahlentheorie) (Aus dem Russischen übersetzt von Helmut Koch.) Zbl 0134.27303
Borewicz, Senon I.; Shafarevich, Igor R.
5
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.
38
1965
On class field towers. Zbl 0148.28101
Golod, E. S.; Shafarevich, I. R.
17
1965
On the class field tower. Zbl 0136.02602
Golod, E. S.; Shafarevich, I. R.
111
1964
Number theory. (Теория чисел.) Zbl 0121.04202
Borevich, Z. I.; Shafarevich, I. R.
72
1964
Extensions with given points of ramification. Zbl 0199.09707
Shafarevich, I. R.
16
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. (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
...and 22 more Documents
all top 5

Cited by 2,485 Authors

17 Kondō, Shigeyuki
15 Walcher, Sebastian
14 Vostokov, Sergeĭ Vladimirovich
14 Zarkhin, Yuriĭ Gennad’evich
12 Safey El Din, Mohab
12 Sendra, Juan Rafael
12 Zhang, Yongzheng
11 Katsura, Toshiyuki
11 Simson, Daniel
10 Llibre, Jaume
10 Nikulin, Vyacheslav Valentinovich
10 Shimada, Ichiro
9 Heintz, Joos
9 Kanel’-Belov, Alekseĭ Yakovlevich
9 Popov, Vladimir Leonidovich
8 Bürgisser, Peter
8 Jarden, Moshe
7 Furter, Jean-Philippe
7 Grigor’ev, Dmitriĭ Yur’evich
7 Kaygorodov, Ivan
7 Matera, Guillermo
7 Mináč, Ján
7 Schmidt, Bernhard
7 Shu, Bin
7 Skula, Ladislav
7 Smoktunowicz, Agata
6 Boston, Nigel
6 Bruno, Alexander Dmitrievich
6 Dolgachev, Igor’ Vladimirovich
6 Friedland, Shmuel
6 Gurak, Stanley J.
6 Horikawa, Eiji
6 Kollár, János
6 Liedtke, Christian
6 Lur’e, Boris Beniaminovich
6 Myasnikov, Alexei G.
6 Nguyêñ Duy Tân
6 Pardo, Luis Miguel
6 Premet, Alexander A.
6 Schütt, Matthias
6 Shafarevich, Igor’ Rostislavovich
6 Sturmfels, Bernd
5 Artebani, Michela
5 Bank, Bernd
5 Brüstle, Thomas
5 Coutinho, S. C.
5 Deng, Bangming
5 German, Oleg N.
5 Giusti, Marc
5 Hu, ShengLong
5 Huck, Christian
5 Hulek, Klaus
5 Ishkhanov, V. V.
5 Iyudu, Natalia K.
5 Kumar, Shrawan
5 Landsberg, Joseph Montague
5 Lawton, Sean
5 Leung, Ka Hin
5 Liu, Wende
5 Madunts, Aleksandra Igor’evna
5 Schicho, Josef
5 Shioda, Tetsuji
5 Solernó, Pablo
5 Sonn, Jack
5 Strade, Helmut
5 Vorob’ëv, Nikolaĭ N. jun.
4 Arzhantsev, Ivan Vladimirovich
4 Asashiba, Hideto
4 Bell, Jason P.
4 Degtyarev, Alex
4 Đoković, Dragomir Ž.
4 Futorny, Vyacheslav M.
4 Gefter, Sergey L.
4 Gesmundo, Fulvio
4 Giménez, Nardo
4 Goeke, Alexandra
4 Herschend, Martin
4 Jakhar, Anuj
4 Jeronimo, Gabriela
4 Kang, Ming-Chang
4 Klimann, Ines
4 Lang, William E.
4 Lubotzky, Alexander
4 Markšaitis, Hamletas
4 Matsumoto, Yuya
4 Mu, Qiang
4 Naldi, Simone
4 Oort, Frans
4 Parshin, Alekseĭ Nikolaevich
4 Poulakis, Dimitrios
4 Prokhorov, Yuriĭ Gennad’evich
4 Putcha, Mohan S.
4 Rapinchuk, Andrei S.
4 Reichstein, Zinovy B.
4 Remeslennikov, Vladimir Nikanorovich
4 Russell, Peter K.
4 Sarti, Alessandra
4 Schost, Éric
4 Shkarin, Stanislav A.
4 Skorobogatov, Alexei Nikolaïevitch
...and 2,385 more Authors
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Cited in 362 Serials

164 Journal of Algebra
109 Journal of Number Theory
79 Journal of Pure and Applied Algebra
64 Mathematische Annalen
58 Journal of Mathematical Sciences (New York)
54 Inventiones Mathematicae
53 Transactions of the American Mathematical Society
51 Mathematical Notes
44 Compositio Mathematica
43 Advances in Mathematics
40 Journal of Symbolic Computation
39 Communications in Algebra
34 Proceedings of the American Mathematical Society
33 Manuscripta Mathematica
31 Mathematische Zeitschrift
30 Linear Algebra and its Applications
26 Duke Mathematical Journal
25 Mathematics of Computation
22 Israel Journal of Mathematics
21 Journal of Soviet Mathematics
20 Journal de Théorie des Nombres de Bordeaux
19 Annales de l’Institut Fourier
19 Siberian Mathematical Journal
16 Functional Analysis and its Applications
16 Bulletin of the American Mathematical Society. New Series
15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
15 Proceedings of the Steklov Institute of Mathematics
13 Discrete & Computational Geometry
13 Izvestiya: Mathematics
12 Rocky Mountain Journal of Mathematics
12 Archiv der Mathematik
12 Proceedings of the Japan Academy. Series A
12 Journal of Algebra and its Applications
11 Algebra and Logic
10 Geometriae Dedicata
10 Tôhoku Mathematical Journal. Second Series
10 Journal of the American Mathematical Society
10 Finite Fields and their Applications
10 Transformation Groups
9 Linear and Multilinear Algebra
9 Journal of the Mathematical Society of Japan
9 Nagoya Mathematical Journal
9 Journal of Complexity
9 Applicable Algebra in Engineering, Communication and Computing
9 Selecta Mathematica. New Series
9 International Journal of Number Theory
8 Discrete Mathematics
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Journal of Combinatorial Theory. Series A
8 Journal für die Reine und Angewandte Mathematik
8 Computer Aided Geometric Design
8 International Journal of Algebra and Computation
8 Designs, Codes and Cryptography
8 Geometry & Topology
8 Chebyshevskiĭ Sbornik
7 Communications in Mathematical Physics
7 Journal of Mathematical Analysis and Applications
7 Russian Mathematical Surveys
7 Bulletin de la Société Mathématique de France
7 Journal of Functional Analysis
7 Mathematische Nachrichten
7 Mathematica Slovaca
7 Michigan Mathematical Journal
7 Rendiconti del Seminario Matematico della Università di Padova
7 Acta Mathematica Hungarica
7 Revista Matemática Iberoamericana
7 International Journal of Mathematics
7 Geometric and Functional Analysis. GAFA
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of High Energy Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Differential Equations
6 Physica D
6 Russian Mathematics
6 Computational Complexity
6 Applied and Computational Harmonic Analysis
6 St. Petersburg Mathematical Journal
6 Algebras and Representation Theory
6 Journal of the European Mathematical Society (JEMS)
6 Frontiers of Mathematics in China
6 European Journal of Mathematics
6 SIAM Journal on Applied Algebra and Geometry
5 Lithuanian Mathematical Journal
5 Ukrainian Mathematical Journal
5 Acta Mathematica
5 Osaka Journal of Mathematics
5 Theoretical Computer Science
5 Topology and its Applications
5 Advances in Applied Mathematics
5 Acta Applicandae Mathematicae
5 Science in China. Series A
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Vestnik St. Petersburg University. Mathematics
5 Journal of Algebraic Geometry
5 Sbornik: Mathematics
5 The Ramanujan Journal
5 Annals of Mathematics. Second Series
5 Lobachevskii Journal of Mathematics
5 Foundations of Computational Mathematics
5 Proceedings of the Japan Academy
...and 262 more Serials
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Cited in 62 Fields

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

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