Igor R. Shafarevich Collected Mathematical Papers [Reprint of the 1989 edition] 9783540136187, 3540136185, 9783662471531, 3662471531

Table of contents :
Igor R. Shafarevich 1983
Preface
Table of contents
[1943] On the normalizability of topological fields, Dokl. Akad. Nauk SSSR 40, 149-151 (1943)
[1946] On Galois groups of p-adic fields, Dokl. Akad. Nauk SSSR 53, No. 1, 15-16 (1946)
[1947] On p-extensions, Mat. Sb., Nov. Ser. 20 (62), 351-363 (1947). Zbl. 41,171
[1950] A general reciprocity law, Mat. Sb., Nov. Ser. 26 (68), 113-146 (1950). Zbl. 36, 159
[1951] A new proof of the Kronecker-Weber theorem, Tr. Mat. Inst. Steklova 38, 382-387 (1951). Zbl. 53, 355
[1954] On the imbedding problem for fields, Dokl. Akad. Nauk SSSR 95, No. 3, 459-461 (1954). Zbl. 55, 31
[1954] On the construction of fields with a given Galois group of order l, Izv. Akad. Nauk SSSR, Ser. Mat. 18, 261-296 (1954). Zbl. 56, 33
[1954] On an existence theorem in the theory of algebraic numbers, Izv. Akad. Nauk SSSR, Ser. Mat 18, 327-334 (1954). Zbl. 56, 34
[1954] On the problem of imbedding fields, Izv. Akad. Nauk SSSR, Ser. Mat. 18, 389-418 (1954). Zbl. 57, 33
[1954] Construction of fields of algebraic numbers with given solvable Galois group, Izv. Akad. Nauk SSSR, Ser. Mal 18,525-578 (1954). Zbl. 57, 274
[1957] On birational equivalence of elliptic curves, Dokl. Akad. Nauk SSSR 114,No. 2, 267-270 (1957). Zbl. 81,153
[1957] Exponents of elliptic curves, Dokl. Akad. Nauk SSSR 114, No. 4, 714-716 (1957). Zbl. 81,154
[1957] Cohomology groups of nilpotent algebras(with A. I. Kostrikin), Dokl. Akad. Nauk SSSR 115, No. 6, 1066-1069 (1957). Zbl. 83, 30
[1958] The imbedding problem for split extensions, Dokl. Akad. Nauk SSSR 120, No. 6, 1217-1219 (1958). Zbl. 85, 26
[1959] The group of algebraic principal homogeneous varieties, Dokl. Akad. Nauk SSSR 124, No. 1, 42-43 (1959). Zbl. 115, 389
[1959] The imbedding problem for local fields(with S. P. Demushkin), lzv. Akad. Nauk SSSR, Ser. Mat 23, No. 6, 823-840 (1959). Zbl. 93, 44
[1958] Impressions from the International Mathematical Congress in Edinburgh, Usp. MaL Nauk 14, No. 2, 243-246 (1958)
[1961] Principal homogeneous spaces defined over a function field, Tr. Mat. Inst. Steklova 64, 316-346 (1961). Zbl. 129, 128
[1962] The second obstruction for the imbedding problem of algebraic number fields(with S. P. Demushkin), lzv. Akad. Nauk SSSR, Ser. Mat. 26, No. 6, 911-924 (1962). Zbl. 115, 37
[1963] Algebraic number fields, Proc. Int. Congr. Math., Stockholm 1962, Inst. Mittag-Leffler, Djursholm, 163-176(1963). Zbl. 126, 69
[1964] Extensions with given ramification points, Publ. Math., Inst. Haut. Etud. Sci. 18, 295-319 (1964). Zbl. 118, 275
[1964] On class field towers (with E. S. Golod), Izv. Akad. Nauk SSR, Ser. Mat. 28, No. 2, 261-272 (1964). Zbl. 136, 26
[1965] Algebraic surfaces (with B. G. Averbukh et al.), Tr. Mat. Inst. Steklova 75 (1965). Zbl. 154, 210
Preface
Ruled surfaces
Surfaces with a pencil of elliptic curves
[1966] Galois theory of transcendental extensions and uniformization, (with I. I. Piatetskij-Shapiro) Izv. Akad. Naulc SSSR, Ser. Mat. 30, No. 3, 671-704 (1966). Zbl. 218, 14024
[1966] Cartan pseudogroups and Lie p-algebras (with A. I. Kostrikin), Dokl. Akad. Nauk SSSR 168, No. 4, 740-742 (1966). Zbl. 158, 38
[1967] The rank of elliptic curves (with J. T. Tate), Dokl. Akad. Nauk SSSR 175, No. 4, 770-773 (1967). Zbl. 168, 422
[1967] On some infinitedimensional groups, In: Simposio Intemazionale di Geometria Algebrica. Roma: Edizioni Cremonese, 208-212 (1967)
[1967] Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic (with A. N. Rudakov), Mat Zametki 2, No. 5, 439-454 (1967). Zbl. 184, 60
[1969] Graded Lie algebras of finite characteristic (with A. I. Kostrikin), lzv. Akad. Nauk SSSR, Ser. Mat. 33, No. 2, 251-322 (1969). Zbl. 211, 53
[1971] Le théorème de Torelli, pour les surfaces algébriques de type K3, Actes Congrès Intern. Math., Nice 1970, 413-417 (1971). Zbl. 236, 14016
[1971] A Torelli theorem for algebraic surfaces of type K3 (with I. I. Piatetskij-Shapiro), lzv. Akad. Nauk SSSR, Ser. Mat. 35, 530-572 (1971). Zbl. 219, 14021
[1973] The arithmetic of K3 surfaces (with I. I. Piatetskij-Shapiro) Tr. Mat Inst. Steklova 132, 44-54 (1973). Zbl. 293, 14010
[1973] Über einige Tendenzen in der Entwicklung der Mathematik, Jahrb. Akad. Wiss. Göttingen, 31-36 (1973)
[1976] Inseparable morphisms of algebraic surfaces (with A. N. Rudakov), Izv. Akad. Nauk SSSR, Ser. Mat 40, 1269-1307 (1976). Zbl. 365, 14008
[1978] Quasi-elliptic surfaces of type K3 (with A. N. Rudakov), Usp. Mat. Nauk 33, No. 1, 227-228 (1978). Zbl. 383, 14013
[1978] Vector fields on elliptic surfaces (with A. N. Rudakov), Usp. Mat. Nauk 33, No. 6, 231-232 (1978). Zbl. 411, 14008
[1978] Supersingular K3 surfaces over fields of characteristic 2 (with A. N. Rudakov), Izv. Akad. Nauk SSSR, Ser. Mat. 42, 848-869 (1978). Zbl. 404, 14010
[1981] On the degeneration of K3 surfaces over fields of finite characteristic (with A. N. Rudakov), Izv. Akad. Nauk SSSR, Ser. Mat 45, 646-661 (1981). Zbl. 465, 14014
[1981] On some infinite-dimensional groups. Il, lzv. Akad. Naulc SSSR, Ser. Mat. 45, No. 1, 214-226 (1981). Zbl. 475, 14036
[1981] Surfaces of type K3 over fields of finite characteristic (with A. N. Rudakov), ltogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 18, 115-207 (1981). Zbl. 518, 14015
[1982] The influence of height on degenerations of algebraic surfaces of type K3(with A. N. Rudakov and T. Zink), lzv. Akad. Nauk SSSR, Ser. Mat 46, 117-134 (1982). Zbl. 492, 14024
[1983] Zum 150. Geburtstag von Alfred Clebsch, Math. Ann. 266, 135-140 (1983). Zbl. 519, 01013
[1984] On the degeneration of K3 surfaces(with A. N. Rudakov), Tr. Mat. Inst. Steklova 166, 222-234 (1984). Zbl. 577, 14027
Notes
On the normalizability of topological fields
On Galois groups of p-adic fields
On p-extensions
A general reciprocity law
On the construction of fields with a given Galois-group of order l
Construction of fields of algebraic numbers with given solvable Galois group
Cohomology groups of nilpotent algebras
The imbedding problem for split extensions
The imbedding problem for local fields
Principal homogeneous spaces defined over a function field
The second obstruction for the imbeddiog problem of algebraic number fields
Algebraic number fields
Extensions with given ramification points
On class field towers
Algebraic surfaces
Galois theory of transcendental extensions and uniformization
Cartan pseudogroups and Lie p-algebras
On some infioitedimeosional groups
Irreducible representations of a simple three-dimensional Lie algebra over a field of finite characteristic
Le théorème de Torelli pour les surfaces algébriques de type K3
A Torelli theorem for algebraic surfaces of type K3
The arithmetic of K3-surfaces
lnsepanble morphisms of algebnic surfaces
Surfaces of type K3 over fields of finite characteristic
The influence of height on degeneration of algebnic surfaces of type K3
Bibliography
Acknowledgements

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