Edit Profile (opens in new tab) Shafarevich, Igor’ Rostislavovich (b. 1923 d. 2017) Co-Author Distance Author ID: 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. more...less Further Spellings: Шафаревич Игорь Ростиславович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 155 Publications since 1943, including 32 Books 32 Contributions as Editor · 3 Further Contributions Biographic References: 18 Publications Co-Authors: 79 Co-Authors with 96 Joint Publications 2,845 Co-Co-Authors all top 5 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 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. all top 5 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 all top 5 Fields 75 Algebraic geometry (14-XX) 46 Number theory (11-XX) 37 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 21 Group theory and generalizations (20-XX) 17 Field theory and polynomials (12-XX) 17 Several complex variables and analytic spaces (32-XX) 15 Nonassociative rings and algebras (17-XX) 14 Commutative algebra (13-XX) 13 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 4 Topological groups, Lie groups (22-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 3,332 times in 3,062 Documents Cited by ▼ Year ▼ Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902 Borevich, Z. I.; Shafarevich, I. R. 427 1966 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001 Shafarevich, I. R. 240 1977 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. 229 1994 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001 Shafarevich, I. R. 216 1974 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001 Gabriel, P.; Roiter, A. V. 157 1992 Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004 Shafarevich, Igor R. 130 2013 On the class field tower. Zbl 0136.02602 Golod, E. S.; Shafarevich, I. R. 123 1964 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 107 1971 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 93 1972 Number theory. (Теория чисел.) Zbl 0121.04202 Borevich, Z. I.; Shafarevich, I. R. 81 1964 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 78 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. 77 1994 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 67 1999 Graded Lie algebras of finite characteristic. Zbl 0211.05304 Kostrikin, A. I.; Shafarevich, I. R. 56 1970 Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704 Shafarevich, I. R. 52 1966 Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001 Borevich, Z. I.; Shafarevich, I. R. 52 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. 51 1965 Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002 Shafarevich, Igor R. 49 2013 Galois theory of \(p\)-extensions. (Galoissche Theorie der \(p\)-Erweiterungen. Mit einem Geleitwort von I. R. Shafarevich.) Zbl 0216.04704 Koch, H. 48 1970 On some infinite dimensional groups. Zbl 0149.39003 Shafarevich, I. R. 43 1966 Foundations of algebraic geometry. Zbl 0204.21301 Shafarevich, I. R. 41 1969 Number theory. (Théorie des nombres. Traduit par Myriam et Jean-Luc Verlay.) Zbl 0145.04901 Borevich, Z. I.; Chafarevitch, I. R. 39 1967 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. 38 1998 Inseparable morphisms of algebraic surfaces. Zbl 0379.14006 Rudakov, A. N.; Shafarevich, I. R. 36 1978 Construction of algebraic number fields with given solvable Galois group. Zbl 0057.27401 Shafarevich, I. R. 36 1954 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. 29 1981 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 On some infinite-dimensional groups. II. Zbl 0491.14025 Shafarevich, I. R. 26 1982 The rank of elliptic curves. Zbl 0168.42201 Tate, J. T.; Shafarevich, I. R. 25 1967 A general reciprocity law. Zbl 0036.15901 Shafarevich, I. R. 24 1950 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008 23 1994 Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008 Rudakov, A. N.; Shafarevich, I. R. 23 1979 Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008 Rudakov, A. N.; Shafarevich, I. R. 21 1976 On \(p\)-extensions. Zbl 0041.17101 Shafarevich, I. R. 21 1947 On class field towers. Zbl 0148.28101 Golod, E. S.; Shafarevich, I. R. 21 1965 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001 Shafarevich, Igor R.; Remizov, Alexey O. 21 2013 Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002 Rudakov, A. N.; Shafarevich, I. R. 20 1967 Algebraic number fields. (Algebraische Zahlkörper.) Zbl 0126.06902 Shafarevich, I. R. 20 1963 Extensions with given points of ramification. Zbl 0199.09707 Shafarevich, I. R. 20 1964 On \(p\)-extensions. Zbl 0071.03302 Shafarevich, I. R. 17 1956 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. 17 1988 Deformations of commutative algebras of class 2. Zbl 0743.13009 Shafarevich, I. R. 16 1990 Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010 15 1995 The homology groups of nilpotent algebras. Zbl 0083.03003 Kostrikin, A. I.; Shafarevich, I. R. 15 1957 Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803 Kostrikin, A. I.; Shafarevich, I. R. 15 1966 Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010 Rudakov, A. N.; Shafarevich, I. R. 14 1978 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008 13 1996 Principal homogeneous spaces defined over a function field. Zbl 0142.18401 Shafarevich, I. R. 13 1964 Principal homogeneous spaces defined over a function field. Zbl 0129.12804 Shafarevich, I. R. 11 1961 Basic notions of algebra. Zbl 0655.00002 Shafarevich, I. R. 10 1986 Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016 Shafarevitch, I. R. 10 1971 Construction of fields of algebraic numbers with given solvable Galois group. Zbl 0071.03307 Shafarevich, I. R. 10 1956 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 10 1992 The imbedding problem for splitting extensions. Zbl 0085.02602 Shafarevich, I. R. 9 1958 Arithmetic of \(K3\) surfaces. Zbl 0293.14010 Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 9 1973 Basic notions of algebra. Transl. from the Russian by M. Reid. 2nd printing of the 1st ed. 1990. Zbl 0860.16001 Shafarevich, I. R. 9 1997 Extensions with given points of ramification. (Extensions à points de ramification donnés.) Zbl 0118.27505 Shafarevich, I. R. 8 1963 Algebraic number field. Zbl 0133.29303 Shafarevich, I. R. 8 1963 On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020 Shafarevich, I. R. 8 1996 Algebraic surfaces. Zbl 0733.14015 Iskovskikh, V. A.; Shafarevich, I. R. 8 1989 Lüroth’s problem. Zbl 0731.14035 Shafarevich, I. R. 8 1991 Deformations of commutative algebras of class 2. Zbl 0727.13006 Shafarevich, I. R. 8 1990 Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001 Nikulin, V. V.; Shafarevich, I. R. 8 1987 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001 Shafarevich, I. R. 8 1990 On the normalizability of topological fields. Zbl 0063.06924 Shafarevich, I. R. 8 1943 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. 8 1988 Number theory. (Zahlentheorie) (Aus dem Russischen übersetzt von Helmut Koch.) Zbl 0134.27303 Borewicz, Senon I.; Shafarevich, Igor R. 7 1966 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 7 1998 The embedding problem for local fields. (Das Einbettungsproblem für lokale Körper.) Zbl 0093.04404 Demushkin, S. P.; Shafarevich, I. R. 7 1959 The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036 Rudakov, A. N.; Zink, T.; Shafarevich, I. R. 7 1983 Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001 Nikulin, V. V.; Shafarevich, I. R. 7 1983 Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007 Shafarevic, I. R. 6 1997 A general reciprocity law. Zbl 0071.03303 Shafarevich, I. R. 6 1956 On the problem of imbedding fields. Zbl 0071.03306 Shafarevich, I. R. 6 1956 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. 6 1989 Abelian and nonabelian mathematics. Zbl 0733.11043 Shafarevich, I. R. 6 1991 Exponents of elliptic curves. Zbl 0081.15401 Shafarevich, I. R. 6 1957 On the problem of imbedding fields. (Über das Problem der Einbettung von Körpern.) Zbl 0057.03303 Shafarevich, I. R. 5 1954 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. 5 1954 On the construction of fields with a given Galois group of order \(l^a\). Zbl 0071.03304 Shafarevich, I. R. 5 1956 Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013 Shafarevich, Igor Rostislavovich 5 1983 Algebra V. Homological algebra. Translated from the Russian by S.I. Gelfand and Yu.I. Manin. (Algebra V. Homological algebra. Transl. from the Russian by S. I. Gelfand and Yu. I. Manin.) Zbl 0787.00007 5 1994 Quasi-elliptic surfaces of type K3. Zbl 0404.14012 Rudakov, A. N.; Shafarevich, I. R. 5 1978 Neuer Beweis des Kronecker-Weberschen Satzes. Zbl 0053.35501 Shafarevich, I. R. 5 1951 Degeneration of semisimple algebras. Zbl 1086.14508 Shafarevich, I. R. 4 2001 Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002 Shafarevich, I. R. 4 1968 Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034 4 1993 Foundations of algebraic geometry. (Основы алгебраической геометрии) (Grundlagen der algebraischen Geometrie.) Zbl 0258.14001 Shafarevich, I. R. 4 1972 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 4 1998 The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802 Demushkin, S. P.; Shafarevich, I. R. 4 1962 Collected mathematical papers. Translated from the Russian. Zbl 0669.12001 Shafarevich, Igor R. 4 1989 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. 3 2005 The arithmetic of \(K3\) surfaces. Zbl 0305.14014 Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 3 1975 Families of reducible algebraic varieties. Zbl 0938.14026 Shafarevich, I. R. 3 1996 The group of principal homogeneous algebraic manifolds. Zbl 0115.38903 Shafarevich, I. R. 3 1959 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 Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012 3 1991 Collected mathematical papers. Reprint of the 1989 hardback edition. Zbl 1326.01074 Shafarevich, Igor R. 2 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. 130 2013 Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002 Shafarevich, Igor R. 49 2013 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001 Shafarevich, Igor R.; Remizov, Alexey O. 21 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. 3 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. 4 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 Andrej Ivanovich Lapin. Zbl 0988.01509 Shafarevich, I. R. 1 2001 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 67 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. 38 1998 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 7 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. 9 1997 Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007 Shafarevic, I. R. 6 1997 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008 13 1996 On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020 Shafarevich, I. R. 8 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 Algebra IX. Finite groups of Lie type. Finite-dimensional division algebras. Transl. from the Russian by P. M. Cohn. Zbl 0830.00003 1 1996 Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010 15 1995 Number theory I: fundamental problems, ideas and theories. Transl. from the Russian by A. A. Panchishkin. Zbl 0827.00016 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. 229 1994 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 78 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. 77 1994 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008 23 1994 Algebra V. Homological algebra. Translated from the Russian by S.I. Gelfand and Yu.I. Manin. (Algebra V. Homological algebra. Transl. from the Russian by S. I. Gelfand and Yu. I. Manin.) Zbl 0787.00007 5 1994 Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034 4 1993 Algebra IV. Infinite groups, linear groups. Transl. from the Russian by J. Wiegold. Zbl 0782.00033 1 1993 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001 Gabriel, P.; Roiter, A. V. 157 1992 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 10 1992 Lüroth’s problem. Zbl 0731.14035 Shafarevich, I. R. 8 1991 Abelian and nonabelian mathematics. Zbl 0733.11043 Shafarevich, I. R. 6 1991 Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012 3 1991 Deformations of commutative algebras of class 2. Zbl 0743.13009 Shafarevich, I. R. 16 1990 Deformations of commutative algebras of class 2. Zbl 0727.13006 Shafarevich, I. R. 8 1990 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001 Shafarevich, I. R. 8 1990 Algebra - 6. (Algebra - 6.) Zbl 0698.00022 1 1990 Dimitrij Konstantinovich Faddeev. Zbl 0744.01027 Shafarevich, I. R. 1 1990 Algebraic surfaces. Zbl 0733.14015 Iskovskikh, V. A.; Shafarevich, I. R. 8 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. 6 1989 Collected mathematical papers. Translated from the Russian. Zbl 0669.12001 Shafarevich, Igor 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 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. 17 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. 8 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. 52 1985 The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036 Rudakov, A. N.; Zink, T.; Shafarevich, I. R. 7 1983 Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001 Nikulin, V. V.; Shafarevich, I. R. 7 1983 Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013 Shafarevich, Igor Rostislavovich 5 1983 On some infinite-dimensional groups. II. Zbl 0491.14025 Shafarevich, I. R. 26 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. 29 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. 23 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. 14 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. 240 1977 Nicht-separable Morphismen algebraischer Flächen. Zbl 0365.14008 Rudakov, A. N.; Shafarevich, I. R. 21 1976 The arithmetic of \(K3\) surfaces. Zbl 0305.14014 Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 3 1975 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001 Shafarevich, I. R. 216 1974 Arithmetic of \(K3\) surfaces. Zbl 0293.14010 Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 9 1973 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 93 1972 Foundations of algebraic geometry. (Основы алгебраической геометрии) (Grundlagen der algebraischen Geometrie.) Zbl 0258.14001 Shafarevich, I. R. 4 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. 107 1971 Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016 Shafarevitch, I. R. 10 1971 Graded Lie algebras of finite characteristic. Zbl 0211.05304 Kostrikin, A. I.; Shafarevich, I. R. 56 1970 Galois theory of \(p\)-extensions. (Galoissche Theorie der \(p\)-Erweiterungen. Mit einem Geleitwort von I. R. Shafarevich.) Zbl 0216.04704 Koch, H. 48 1970 Foundations of algebraic geometry. Zbl 0204.21301 Shafarevich, I. R. 41 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. 39 1967 The rank of elliptic curves. Zbl 0168.42201 Tate, J. T.; Shafarevich, I. R. 25 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. 20 1967 Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902 Borevich, Z. I.; Shafarevich, I. R. 427 1966 Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704 Shafarevich, I. R. 52 1966 On some infinite dimensional groups. Zbl 0149.39003 Shafarevich, I. R. 43 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. 7 1966 Galois theory of transcendental extensions and uniformization. Zbl 0218.14024 Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 2 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. 51 1965 On class field towers. Zbl 0148.28101 Golod, E. S.; Shafarevich, I. R. 21 1965 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,495 Authors 20 Sendra, Juan Rafael 19 Kondō, Shigeyuki 17 Safey El Din, Mohab 16 Matera, Guillermo 16 Walcher, Sebastian 15 Pérez-Díaz, Sonia 15 Vostokov, Sergeĭ Vladimirovich 14 Katsura, Toshiyuki 14 Llibre, Jaume 14 Zarkhin, Yuriĭ Gennad’evich 13 Nikulin, Vyacheslav Valentinovich 13 Shimada, Ichiro 13 Simson, Daniel 12 Popov, Vladimir Leonidovich 12 Zhang, Yongzheng 11 Kanel’-Belov, Alekseĭ Yakovlevich 11 Kollár, János 11 Schütt, Matthias 10 Arzhantsev, Ivan Vladimirovich 10 Bürgisser, Peter 10 Grigor’ev, Dmitriĭ Yur’evich 10 Heintz, Joos 10 Jarden, Moshe 10 Reichstein, Zinovy B. 9 Kaygorodov, Ivan 9 Privitelli, Melina 9 Schmidt, Bernhard 8 Brüstle, Thomas 8 Dolgachev, Igor’ Vladimirovich 8 German, Oleg N. 8 Liedtke, Christian 8 Pérez, Mariana 8 Regeta, Andriy 8 Shu, Bin 8 Sturmfels, Bernd 7 Artebani, Michela 7 Bautista, Raymundo 7 Catanese, Fabrizio M. E. 7 Degtyarev, Alex 7 Furter, Jean-Philippe 7 Lawton, Sean 7 Mináč, Ján 7 Pardo, Luis Miguel 7 Schost, Éric 7 Skula, Ladislav 7 Smoktunowicz, Agata 7 Sonn, Jack 7 Vorob’ëv, Nikolaĭ N. jun. 6 Boston, Nigel 6 Bruno, Alexander Dmitrievich 6 Deng, Bangming 6 Friedland, Shmuel 6 Gurak, Stanley J. 6 Horikawa, Eiji 6 Hu, ShengLong 6 Kang, Ming-Chang 6 Keller, Bernhard 6 Kumar, Shrawan 6 Lur’e, Boris Beniaminovich 6 Matsumoto, Yuya 6 Myasnikov, Alexei G. 6 Nguyêñ Duy Tân 6 Premet, Alexander A. 6 Schröer, Stefan 6 Shafarevich, Igor’ Rostislavovich 6 Shioda, Tetsuji 6 Tziolas, Nikolaos 6 Yu, Jie-Tai 5 Alcazar, Juan Gerardo 5 Alexeev, Valery A. 5 Asashiba, Hideto 5 Bank, Bernd 5 Coutinho, S. C. 5 Đoković, Dragomir Ž. 5 Elkadi, Mohamed 5 Engel, Philip Milton 5 Futorny, Vyacheslav M. 5 Galligo, André 5 Gefter, Sergey L. 5 Gesmundo, Fulvio 5 Giménez, Nardo 5 Giusti, Marc 5 Herschend, Martin 5 Huck, Christian 5 Hulek, Klaus 5 Ishkhanov, V. V. 5 Ito, Kazuhiro 5 Iyudu, Natalia K. 5 Jahnel, Jörg 5 Jeronimo, Gabriela 5 Khanduja, Sudesh K. 5 Kulikov, Viktor Stepanovich 5 Kummer, Mario Denis 5 Laface, Antonio 5 Landsberg, Joseph Montague 5 Leites, Dimitry A. 5 Leung, Ka Hin 5 Liu, Wende 5 Lubotzky, Alexander 5 Madunts, Aleksandra Igor’evna ...and 3,395 more Authors all top 5 Cited in 435 Serials 226 Journal of Algebra 142 Journal of Number Theory 115 Journal of Pure and Applied Algebra 78 Mathematische Annalen 71 Advances in Mathematics 68 Transactions of the American Mathematical Society 65 Journal of Mathematical Sciences (New York) 59 Inventiones Mathematicae 59 Linear Algebra and its Applications 58 Journal of Symbolic Computation 52 Mathematical Notes 50 Compositio Mathematica 49 Communications in Algebra 45 Mathematische Zeitschrift 40 Manuscripta Mathematica 40 Proceedings of the American Mathematical Society 31 Duke Mathematical Journal 30 Journal de Théorie des Nombres de Bordeaux 29 Israel Journal of Mathematics 27 Mathematics of Computation 22 Annales de l’Institut Fourier 22 Siberian Mathematical Journal 21 Journal of Soviet Mathematics 21 Chebyshevskiĭ Sbornik 19 Journal für die Reine und Angewandte Mathematik 19 Proceedings of the Steklov Institute of Mathematics 18 Bulletin of the American Mathematical Society. New Series 18 Finite Fields and their Applications 18 Transformation Groups 17 Functional Analysis and its Applications 17 Computer Aided Geometric Design 16 Nagoya Mathematical Journal 16 Discrete & Computational Geometry 16 Izvestiya: Mathematics 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Journal of Combinatorial Theory. Series A 15 Mathematische Nachrichten 15 Journal of Complexity 15 Journal of High Energy Physics 15 Journal of Algebra and its Applications 14 Archiv der Mathematik 14 Selecta Mathematica. New Series 13 Rocky Mountain Journal of Mathematics 13 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 13 Geometriae Dedicata 13 Journal of the American Mathematical Society 13 Journal of Algebraic Geometry 12 Linear and Multilinear Algebra 12 Journal of Functional Analysis 12 Journal of the Mathematical Society of Japan 12 Proceedings of the Japan Academy. Series A 12 International Journal of Number Theory 12 SIAM Journal on Applied Algebra and Geometry 11 Communications in Mathematical Physics 11 Discrete Mathematics 11 Algebra and Logic 11 Journal of the London Mathematical Society. Second Series 11 Tôhoku Mathematical Journal. Second Series 11 Revista Matemática Iberoamericana 11 International Journal of Mathematics 11 Expositiones Mathematicae 11 Algebras and Representation Theory 11 Science China. Mathematics 11 European Journal of Mathematics 10 Russian Mathematical Surveys 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Bulletin de la Société Mathématique de France 10 Advances in Applied Mathematics 10 Designs, Codes and Cryptography 10 Bulletin des Sciences Mathématiques 10 Algebra & Number Theory 9 Michigan Mathematical Journal 9 International Journal of Algebra and Computation 9 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 9 Applicable Algebra in Engineering, Communication and Computing 9 Geometry & Topology 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Nuclear Physics. B 8 Journal of Geometry and Physics 8 Journal of Differential Equations 8 Theoretical Computer Science 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Sbornik: Mathematics 8 Journal of the European Mathematical Society (JEMS) 7 Journal of Mathematical Analysis and Applications 7 Bulletin of the London Mathematical Society 7 Mathematica Slovaca 7 Rendiconti del Seminario Matematico della Università di Padova 7 Systems & Control Letters 7 Acta Mathematica Hungarica 7 Geometric and Functional Analysis. GAFA 7 Russian Mathematics 7 Computational Complexity 7 Journal of Physics A: Mathematical and Theoretical 7 Forum of Mathematics, Sigma 6 Osaka Journal of Mathematics 6 Proceedings of the London Mathematical Society. Third Series 6 Annals of Pure and Applied Logic 6 Physica D ...and 335 more Serials all top 5 Cited in 63 Fields 1,278 Algebraic geometry (14-XX) 813 Number theory (11-XX) 317 Associative rings and algebras (16-XX) 293 Group theory and generalizations (20-XX) 259 Commutative algebra (13-XX) 196 Nonassociative rings and algebras (17-XX) 185 Several complex variables and analytic spaces (32-XX) 180 Field theory and polynomials (12-XX) 155 Linear and multilinear algebra; matrix theory (15-XX) 153 Computer science (68-XX) 125 Combinatorics (05-XX) 101 Dynamical systems and ergodic theory (37-XX) 90 Differential geometry (53-XX) 82 Numerical analysis (65-XX) 80 Category theory; homological algebra (18-XX) 71 Manifolds and cell complexes (57-XX) 69 Ordinary differential equations (34-XX) 66 Topological groups, Lie groups (22-XX) 61 Quantum theory (81-XX) 57 Information and communication theory, circuits (94-XX) 55 Convex and discrete geometry (52-XX) 52 Geometry (51-XX) 50 Mathematical logic and foundations (03-XX) 37 Functions of a complex variable (30-XX) 37 Functional analysis (46-XX) 34 Global analysis, analysis on manifolds (58-XX) 33 Algebraic topology (55-XX) 28 Systems theory; control (93-XX) 27 Order, lattices, ordered algebraic structures (06-XX) 26 History and biography (01-XX) 26 Operator theory (47-XX) 25 Partial differential equations (35-XX) 22 \(K\)-theory (19-XX) 21 Mechanics of particles and systems (70-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Real functions (26-XX) 18 Operations research, mathematical programming (90-XX) 17 Probability theory and stochastic processes (60-XX) 16 Special functions (33-XX) 16 Difference and functional equations (39-XX) 16 Relativity and gravitational theory (83-XX) 15 General algebraic systems (08-XX) 13 Biology and other natural sciences (92-XX) 12 Approximations and expansions (41-XX) 11 Measure and integration (28-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Abstract harmonic analysis (43-XX) 9 Statistics (62-XX) 9 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 8 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 6 General topology (54-XX) 5 Potential theory (31-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Mathematics education (97-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 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.