Edit Profile (opens in new tab) Shafarevich, Igor’ Rostislavovich Compute Distance To: Compute 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: 15 Publications Co-Authors: 80 Co-Authors with 96 Joint Publications 2,616 Co-Co-Authors all top 5 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. 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 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 all top 5 Fields 73 Algebraic geometry (14-XX) 44 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 Several complex variables and analytic spaces (32-XX) 15 Field theory and polynomials (12-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 118 Publications have been cited 2,078 times in 1,876 Documents Cited by ▼ Year ▼ Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902Borevich, Z. I.; Shafarevich, I. R. 258 1966 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001Shafarevich, I. R. 195 1977 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001Shafarevich, 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 0797.14001Shafarevich, Igor R. 129 1994 On the class field tower. Zbl 0136.02602Golod, E. S.; Shafarevich, I. R. 103 1964 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 71 1972 Number theory. (Теория чисел.) Zbl 0121.04202Borevich, 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 1273.14004Shafarevich, Igor R. 63 2013 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001Gabriel, P.; Roiter, A. V. 62 1992 Graded Lie algebras of finite characteristic. Zbl 0211.05304Kostrikin, A. I.; Shafarevich, I. R. 44 1970 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 42 1971 Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704Shafarevich, I. R. 40 1966 Foundations of algebraic geometry. Zbl 0204.21301Shafarevich, I. R. 37 1969 Galois theory of \(p\)-extensions. (Galoissche Theorie der \(p\)-Erweiterungen. Mit einem Geleitwort von I. R. Shafarevich.) Zbl 0216.04704Koch, H. 36 1970 Algebraic surfaces. Zbl 0154.21001Shafarevich, 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 0592.12001Borevich, Z. I.; Shafarevich, I. R. 32 1985 Inseparable morphisms of algebraic surfaces. Zbl 0379.14006Rudakov, 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 0675.14001Shafarevich, I. R. 29 1988 Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015Rudakov, A. N.; Shafarevich, I. R. 28 1981 Construction of algebraic number fields with given solvable Galois group. Zbl 0057.27401Shafarevich, I. R. 28 1954 Number theory. (Théorie des nombres. Traduit par Myriam et Jean-Luc Verlay.) Zbl 0145.04901Borevich, Z. I.; Chafarevitch, I. R. 26 1967 On some infinite-dimensional groups. II. Zbl 0475.14036Shafarevich, 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 0797.14002Shafarevich, Igor R. 24 1994 A general reciprocity law. Zbl 0036.15901Shafarevich, I. R. 23 1950 On some infinite-dimensional groups. II. Zbl 0491.14025Shafarevich, I. R. 19 1982 Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008Rudakov, 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 1277.14002Shafarevich, Igor R. 19 2013 On some infinite dimensional groups. Zbl 0149.39003Shafarevich, I. R. 18 1966 The rank of elliptic curves. Zbl 0168.42201Tate, J. T.; Shafarevich, I. R. 17 1967 Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002Rudakov, A. N.; Shafarevich, I. R. 17 1967 On class field towers. Zbl 0148.28101Golod, E. S.; Shafarevich, I. R. 16 1965 Extensions with given points of ramification. Zbl 0199.09707Shafarevich, I. R. 15 1964 On \(p\)-extensions. Zbl 0041.17101Shafarevich, I. R. 14 1947 Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803Kostrikin, A. I.; Shafarevich, I. R. 14 1966 Principal homogeneous spaces defined over a function field. Zbl 0142.18401Shafarevich, I. R. 11 1964 The homology groups of nilpotent algebras. Zbl 0083.03003Kostrikin, A. I.; Shafarevich, I. R. 10 1957 On \(p\)-extensions. Zbl 0071.03302Shafarevich, I. R. 10 1956 Deformations of commutative algebras of class 2. Zbl 0743.13009Shafarevich, I. R. 9 1990 Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010Rudakov, A. N.; Shafarevich, I. R. 9 1978 The imbedding problem for splitting extensions. Zbl 0085.02602Shafarevich, 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 0885.11004Fel’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 1082.14500Shafarevich, I. R. 8 1988 On the normalizability of topological fields. Zbl 0063.06924Shafarevich, I. R. 8 1943 Principal homogeneous spaces defined over a function field. Zbl 0129.12804Shafarevich, I. R. 8 1961 Construction of fields of algebraic numbers with given solvable Galois group. Zbl 0071.03307Shafarevich, I. R. 8 1956 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001Shafarevich, Igor R.; Remizov, Alexey O. 8 2013 The embedding problem for local fields. (Das Einbettungsproblem für lokale Körper.) Zbl 0093.04404Demushkin, S. P.; Shafarevich, I. R. 7 1959 Basic notions of algebra. Zbl 0655.00002Shafarevich, I. R. 7 1986 Algebraic surfaces. Zbl 0733.14015Iskovskikh, 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 0860.16001Shafarevich, 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 1082.14501Shafarevich, I. R. 6 1988 Exponents of elliptic curves. Zbl 0081.15401Shafarevich, I. R. 6 1957 Extensions with given points of ramification. (Extensions à points de ramification donnés.) Zbl 0118.27505Shafarevich, I. R. 6 1963 Algebraic surfaces. Zbl 0832.14026Iskovskikh, 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 0947.14020Shafarevich, I. R. 6 1996 Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007Shafarevic, I. R. 6 1997 On the problem of imbedding fields. Zbl 0071.03306Shafarevich, I. R. 6 1956 Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001Nikulin, V. V.; Shafarevich, I. R. 5 1987 Quasi-elliptic surfaces of type K3. Zbl 0404.14012Rudakov, A. N.; Shafarevich, I. R. 5 1978 Algebraic number field. Zbl 0133.29303Shafarevich, I. R. 5 1963 Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001Nikulin, V. V.; Shafarevich, I. R. 5 1983 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001Shafarevich, I. R. 5 1990 Abelian and nonabelian mathematics. Zbl 0733.11043Shafarevich, I. R. 5 1991 A general reciprocity law. Zbl 0071.03303Shafarevich, I. R. 5 1956 On the construction of fields with a given Galois group of order \(l^a\). Zbl 0071.03304Shafarevich, 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 0134.27303Borewicz, Senon I.; Shafarevich, Igor R. 4 1966 Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002Shafarevich, I. R. 4 1968 On factors of a decreasing central series. Zbl 0681.20024Shafarevich, I. R. 4 1989 The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036Rudakov, A. N.; Zink, T.; Shafarevich, I. R. 4 1983 Lüroth’s problem. Zbl 0731.14035Shafarevich, I. R. 4 1991 Neuer Beweis des Kronecker-Weberschen Satzes. Zbl 0053.35501Shafarevich, I. R. 4 1951 On the problem of imbedding fields. (Über das Problem der Einbettung von Körpern.) Zbl 0057.03303Shafarevich, I. R. 4 1954 Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016Shafarevitch, I. R. 4 1971 On Galois groups of \(y\)-adic fields. Zbl 0063.06925Shafarevich, I. R. 3 1946 Families of reducible algebraic varieties. Zbl 0938.14026Shafarevich, I. R. 3 1996 Birational equivalence of elliptic curves. Zbl 0081.15304Shafarevich, I. R. 3 1957 The group of principal homogeneous algebraic manifolds. Zbl 0115.38903Shafarevich, I. R. 3 1959 Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013Shafarevich, Igor Rostislavovich 3 1983 Deformations of commutative algebras of class 2. Zbl 0727.13006Shafarevich, 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 0056.03304Shafarevich, I. R. 3 1954 Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. (Noţiunile fundamentale ale algebrei.) Zbl 0674.12001Shafarevich, I. R. 2 1989 Collected mathematical papers. Zbl 0669.12001Shafarevich, Igor R. 2 1989 Algebra - 2. (Algebra - 2.) Zbl 0639.00007 2 1988 Degeneration of semisimple algebras. Zbl 1086.14508Shafarevich, I. R. 2 2001 On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015Rudakov, A. N.; Shafarevich, I. R. 2 1982 The imbedding problem for local fields. Zbl 0127.26501Demuskin, S.; Shafarevich, I. R. 2 1963 The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802Demushkin, S. P.; Shafarevich, I. R. 2 1962 On the problem of the 10th discriminant. Zbl 1360.11119Shafarevich, 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 1074.16501Shafarevich, Igor R. 2 2005 Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001Shafarevich, I. R. 2 1972 Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001Schafarewitsch, 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 0592.14035Rudakov, A. N.; Shafarevich, I. R. 1 1986 Collected mathematical papers. Reprint of the 1989 hardback edition. Zbl 1326.01074Shafarevich, Igor R. 1 2015 On the problem of the 10th discriminant. Zbl 1360.11119Shafarevich, I. R. 2 2014 Basic algebraic geometry 1. Varieties in projective space. Translated from the Russian by Miles Reid. 3rd ed. Zbl 1273.14004Shafarevich, Igor R. 63 2013 Basic algebraic geometry. 2: Schemes and complex manifolds. Transl. from the Russian by Miles Reid. 3rd ed. Zbl 1277.14002Shafarevich, Igor R. 19 2013 Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Zbl 1256.15001Shafarevich, 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 1074.16501Shafarevich, Igor R. 2 2005 On the group \(\text{GL}(2,K[t])\). Zbl 1112.14052Shafarevich, I. R. 1 2004 Isabella Grigoryevna Bashmakova on the eightieth anniversary of her birth. Zbl 1011.01011Demidov, 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 1086.14508Shafarevich, I. R. 2 2001 Remembrances of V. A. Rokhlin. Zbl 0990.01513Shafarevich, I. R. 1 2001 Aleksei Ivanovich Kostrikin (obituary). Zbl 1017.01516Vinberg, 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 1074.16500Shafarevich, 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 0885.11004Fel’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 0860.16001Shafarevich, I. R. 7 1997 Classification, fundamental groups and universal covering spaces of algebraic varieties. Zbl 0921.14007Shafarevic, I. R. 6 1997 On the arithmetic of singular \(K3\)-surfaces. Zbl 0947.14020Shafarevich, I. R. 6 1996 Families of reducible algebraic varieties. Zbl 0938.14026Shafarevich, 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 0909.14026Shafarevich, 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 0797.14001Shafarevich, 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 0797.14002Shafarevich, 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 0839.16001Gabriel, 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 0733.11043Shafarevich, I. R. 5 1991 Lüroth’s problem. Zbl 0731.14035Shafarevich, 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 0743.13009Shafarevich, I. R. 9 1990 Algebra I. Basic notions of algebra. Transl. from the Russian by M. Reid. Zbl 0711.16001Shafarevich, I. R. 5 1990 Deformations of commutative algebras of class 2. Zbl 0727.13006Shafarevich, I. R. 3 1990 Algebra - 6. (Algebra - 6.) Zbl 0698.00022 1 1990 Algebraic surfaces. Zbl 0733.14015Iskovskikh, V. A.; Shafarevich, I. R. 7 1989 Algebraic surfaces. Zbl 0832.14026Iskovskikh, V. A.; Shafarevich, I. R. 6 1989 On factors of a decreasing central series. Zbl 0681.20024Shafarevich, I. R. 4 1989 Basic notions of algebra. (Noţiunile fundamentale ale algebrei). Transl. from the Russian. (Noţiunile fundamentale ale algebrei.) Zbl 0674.12001Shafarevich, I. R. 2 1989 Collected mathematical papers. Zbl 0669.12001Shafarevich, 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 0675.14001Shafarevich, 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 1082.14500Shafarevich, 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 1082.14501Shafarevich, I. R. 6 1988 Algebra - 2. (Algebra - 2.) Zbl 0639.00007 2 1988 Riemann surfaces and algebraic curves. Introduction by I. R. Shafarevich. Zbl 0682.14015Shokurov, V. V. 1 1988 Geometries and groups. Transl. from the Russian by M. Reid. Zbl 0621.51001Nikulin, V. V.; Shafarevich, I. R. 5 1987 Basic notions of algebra. Zbl 0655.00002Shafarevich, I. R. 7 1986 On degeneration of K3 surfaces. Zbl 0592.14035Rudakov, 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 0605.14001Parshin, A. N.; Shafarevich, I. R. 1 1986 Number theory. (Teoriya chisel). 3rd compl. ed. Zbl 0592.12001Borevich, Z. I.; Shafarevich, I. R. 32 1985 Geometries and groups. (Geometrii i gruppy). Zbl 0528.51001Nikulin, V. V.; Shafarevich, I. R. 5 1983 The influence of height on degenerations of algebraic surfaces of type K3. Zbl 0509.14036Rudakov, A. N.; Zink, T.; Shafarevich, I. R. 4 1983 Zum 150. Geburtstag von Alfred Clebsch. Zbl 0519.01013Shafarevich, Igor Rostislavovich 3 1983 On some infinite-dimensional groups. II. Zbl 0491.14025Shafarevich, I. R. 19 1982 On the degeneration of K3 surfaces over fields of finite characteristic. Zbl 0489.14015Rudakov, A. N.; Shafarevich, I. R. 2 1982 Surfaces of type K3 over fields of finite characteristic. Zbl 0518.14015Rudakov, A. N.; Shafarevich, I. R. 28 1981 On some infinite-dimensional groups. II. Zbl 0475.14036Shafarevich, I. R. 24 1981 On the degeneration of surfaces of type K3. Zbl 0524.14031Rudakov, A. N.; Shafarevich, I. R. 1 1981 Supersingular \(K3\) surfaces over fields of characteristic 2. Zbl 0424.14008Rudakov, A. N.; Shafarevich, I. R. 19 1979 Inseparable morphisms of algebraic surfaces. Zbl 0379.14006Rudakov, A. N.; Shafarevich, I. R. 32 1978 Supersinguläre Flächen des Typs K3 über Körpern der Charakteristik 2. Zbl 0404.14010Rudakov, A. N.; Shafarevich, I. R. 9 1978 Quasi-elliptic surfaces of type K3. Zbl 0404.14012Rudakov, A. N.; Shafarevich, I. R. 5 1978 Vector fields on elliptic surfaces. Zbl 0411.14008Rudakov, A. N.; Shafarevich, I. R. 1 1978 Vector fields on elliptic surfaces. Zbl 0424.14010Rudakov, A. N.; Shafarevich, I. R. 1 1978 Quasielliptische Flächen vom Typ K3. Zbl 0383.14013Rudakov, A. N.; Shafarevich, I. R. 1 1978 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. 2nd ed. Zbl 0362.14001Shafarevich, I. R. 195 1977 Basic algebraic geometry. Translated from the Russian by K. A. Hirsch. Zbl 0284.14001Shafarevich, I. R. 153 1974 Arithmetic of \(K3\) surfaces. Zbl 0293.14010Piatetski-Shapiro, Ilya I.; Shafarevich, I. R. 1 1973 A Torelli theorem for algebraic surfaces of type K3. Zbl 0253.14006Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 71 1972 Grundlagen der algebraischen Geometrie. (Osnovy algebraiceskoi geometrii.). Zbl 0258.14001Shafarevich, I. R. 2 1972 Grundzüge der algebraischen Geometrie. Übersetzung und wissenschaftliche Redaktion: Rudolf Fragel. Zbl 0318.14001Schafarewitsch, I. R. 2 1972 Grundzüge der algebraischen Geometrie. Übersetzung aus dem Russischen von Rudolf Fragel. Zbl 0248.14001Schafarewitsch, Igor R. 1 1972 Der Satz von Torelli für algebraische Flächen vom Typ K3. Zbl 0219.14021Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 42 1971 Le théorème de Torelli pour les surfaces algébriques de type K3. Zbl 0236.14016Shafarevitch, I. R. 4 1971 Graded Lie algebras of finite characteristic. Zbl 0211.05304Kostrikin, 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 0216.04704Koch, H. 36 1970 Foundations of algebraic geometry. Zbl 0204.21301Shafarevich, I. R. 37 1969 Algebraische Flächen Von einem Autorenkollektiv. Übersetzung nach dem russischen Originalmanuskript von Gustav Burosch. Zbl 0154.21002Shafarevich, I. R. 4 1968 Number theory. (Théorie des nombres. Traduit par Myriam et Jean-Luc Verlay.) Zbl 0145.04901Borevich, Z. I.; Chafarevitch, I. R. 26 1967 The rank of elliptic curves. Zbl 0168.42201Tate, J. T.; Shafarevich, I. R. 17 1967 Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic. Zbl 0184.06002Rudakov, A. N.; Shafarevich, I. R. 17 1967 Number theory. Translated by Newcomb Greenleaf. Zbl 0145.04902Borevich, Z. I.; Shafarevich, I. R. 258 1966 Lectures on minimal models and birational transformations of two dimensional schemes. Zbl 0164.51704Shafarevich, I. R. 40 1966 On some infinite dimensional groups. Zbl 0149.39003Shafarevich, I. R. 18 1966 Cartan pseudogroups and Lie \(p\)-algebras. Zbl 0158.03803Kostrikin, A. I.; Shafarevich, I. R. 14 1966 Number theory. (Zahlentheorie) (Aus dem Russischen übersetzt von Helmut Koch.) Zbl 0134.27303Borewicz, Senon I.; Shafarevich, Igor R. 4 1966 Algebraic surfaces. Zbl 0154.21001Shafarevich, 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 0148.28101Golod, E. S.; Shafarevich, I. R. 16 1965 On the class field tower. Zbl 0136.02602Golod, E. S.; Shafarevich, I. R. 103 1964 Number theory. (Теория чисел.) Zbl 0121.04202Borevich, Z. I.; Shafarevich, I. R. 63 1964 Extensions with given points of ramification. Zbl 0199.09707Shafarevich, I. R. 15 1964 Principal homogeneous spaces defined over a function field. Zbl 0142.18401Shafarevich, I. R. 11 1964 The main trends of algebraic topology and algebraic geometry. Zbl 0168.43903Novikov, S. P.; Pyatetskij-Shapiro, I. I.; Shafarevich, I. R. 1 1964 Extensions with given points of ramification. (Extensions à points de ramification donnés.) Zbl 0118.27505Shafarevich, I. R. 6 1963 Algebraic number field. Zbl 0133.29303Shafarevich, I. R. 5 1963 The imbedding problem for local fields. Zbl 0127.26501Demuskin, S.; Shafarevich, I. R. 2 1963 The second obstruction for the imbedding problem of algebraic number fields. Zbl 0199.09802Demushkin, S. P.; Shafarevich, I. R. 2 1962 Principal homogeneous spaces defined over a function field. Zbl 0129.12804Shafarevich, I. R. 8 1961 The embedding problem for local fields. (Das Einbettungsproblem für lokale Körper.) Zbl 0093.04404Demushkin, S. P.; Shafarevich, I. R. 7 1959 The group of principal homogeneous algebraic manifolds. Zbl 0115.38903Shafarevich, I. R. 3 1959 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 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 ...and 2,086 more Authors all top 5 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. 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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 ...and 225 more Serials all top 5 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) 15 Harmonic analysis on Euclidean spaces (42-XX) 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) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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