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Fried, M.

Fields of definition of function fields and Hurwitz families Groups as Galois groups. (English) Zbl 0478.12006

Commun. Algebra 5, 17-82 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0478.12006

Cited in 6 Reviews
Cited in 61 Documents

MSC:

11R32 Galois theory
12F10 Separable extensions, Galois theory
11R58 Arithmetic theory of algebraic function fields
11J81 Transcendence (general theory)
12F20 Transcendental field extensions
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
14H30 Coverings of curves, fundamental group

Keywords:

fields of definition of function fields; inverse problem of Galois theory

Citations:

Zbl 0186.076
Cite Review PDF
Full Text: DOI

References:

[1] Carmichael R., Introduction to the Theory of Groups of Finite Order (1956) · Zbl 0075.23901
[2] Carter R.W., Pure and Applied Mathematics (1972)
[3] Clebsch A., Math. Ann 6 pp 216– (1972) · doi:10.1007/BF01443193
[4] Cohen D.B., Journal of Algebra 32 pp 501– (1974) · Zbl 0343.20002 · doi:10.1016/0021-8693(74)90155-0
[5] Fried M., Galois Groups and Complex Multiplication · Zbl 0394.14010 · doi:10.2307/1998211
[6] Fried M., A Stability Property of Fields of Characteristic 0
[7] Fried M., Stable Existence of Hurwitz Families
[8] Fried M., Invited talk. Bull. of Amer. Math. Soc 32 (1974)
[9] Fried M., Illinois Journal of Math 17 (1) pp 128– (1973)
[10] Fulton W., Annals of Math 90 (1) pp 542– (1969) · Zbl 0194.21901 · doi:10.2307/1970748
[11] Giraud J., Cohomologie non abélienne
[12] Godement R., Topologie algébrique et théorie des faisceux (1958)
[13] Grauert, H. and Remmert, R. 1957.3 papers in Comptes Rendus de l’Acadamie des SciencesVol. 245, 819–822. Paris Band 822-825, 918-921
[14] Grothendieck A., A General Theory of Fibre Spaces with Structure Sheaf
[15] Hilbert D., J. Reine Angew. Math 110 pp 264– (1892)
[16] Hurwitz A., Math. Ann 39 pp 1– (1891) · JFM 23.0429.01 · doi:10.1007/BF01199469
[17] Kodaira K., Ann. Math 67 pp 328– (1958) · Zbl 0128.16901 · doi:10.2307/1970009
[18] Magnus W., Combinatorial Group Theory (1966)
[19] Mumford D., Introduction to Algebraic Geometry (1966) · Zbl 0187.42701
[20] Noether E., Math. Ann 78 pp 221– (1916) · JFM 46.0135.01 · doi:10.1007/BF01457099
[21] Shafarevich I., Izv. Akad. Nauk SSSR Ser. Mat 18 pp 525– (1954)
[22] Shih K., Math. Ann 207 pp 99– (1974) · Zbl 0279.12102 · doi:10.1007/BF01362150
[23] Shimura G., Math. Soc. of Japan 207 (1961)
[24] Springer G., Introduction to Riemann Surfaces (1957) · Zbl 0078.06602
[25] Swan R., Inventiones Math 7 pp 148– (1969) · Zbl 0186.07601 · doi:10.1007/BF01389798
[26] Tretkoff M., Comm. Pure Appl. Math 24 pp 491– (1971) · Zbl 0226.12101 · doi:10.1002/cpa.3160240404
[27] Weil A., Amer. J. Math 78 pp 509– (1956) · Zbl 0072.16001 · doi:10.2307/2372670
[28] Weil A., Foundations of Algebraic geometry (1962) · Zbl 0168.18701
[29] Zassenhaus H., The Theory of Groups (1958) · Zbl 0083.24517
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