Birational moduli and nonabelian cohomology
Buium, A.
Compositio Mathematica, Tome 68 (1988), p. 175-202 / Harvested from Numdam
@article{CM_1988__68_2_175_0,
     author = {Buium, Alexandru},
     title = {Birational moduli and nonabelian cohomology},
     journal = {Compositio Mathematica},
     volume = {68},
     year = {1988},
     pages = {175-202},
     mrnumber = {966579},
     zbl = {0694.14003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1988__68_2_175_0}
}
Buium, A. Birational moduli and nonabelian cohomology. Compositio Mathematica, Tome 68 (1988) pp. 175-202. http://gdmltest.u-ga.fr/item/CM_1988__68_2_175_0/

1 M. Artin: Algebraic approximations of structures over complete local rings. Publ. Math. IHES 36 (1969) 23-58. | Numdam | MR 268188 | Zbl 0181.48802

2 S.S. Abhyankar, T.T. Moh and M. Van Der Put: Invariants of analytic rings. Publ. Math. IHES 36 (1969) 165-194. | Numdam | MR 260728 | Zbl 0193.00402

3 A. Borel and J.P. Serre: Théorèmes de finitude en cohomologie Galoisienne. Comm. Math. Helv. 39 (1964) 111-164. | MR 181643 | Zbl 0143.05901

4 F.A. Bogomolov: Analytic sections in conic bundles. Proc. of the Steklov Institute 3 (1985) 17-25. | MR 752929 | Zbl 0579.14014

5 A. Buium: Differential Function Fields and Moduli of Algebraic Varieties. Lecture Notes in Math. 1226, Springer (1986). | MR 874111 | Zbl 0613.12018

6 A. Buium and M. Takeuchi: Rigidity of maps from Hopf algebras to group algebras, to appear in J. Algebra. | MR 961322 | Zbl 0649.16006

7 M. Demazure: Schémas en groupes réductifs. Bull. Soc. Math. France 93 (1965) 369-413. | Numdam | MR 197467 | Zbl 0163.27402

8 M. Demazure and P. Gabriel: Groupes Algébriques I. Masson & Cie, Paris, North-Holland, Amsterdam (1970). | Zbl 0203.23401

9 M. Demazure and A. Grothendieck: Schémas en Groupes I. Lecture Notes in Math. 151, Springer (1970). | MR 274458 | Zbl 0207.51401

10 A. Grothendieck: Séminaire de Géometrie Algébrique. IHES (1960-61).

11 F. Grünewald and J.O. Halloran: Nilpotent groups and unipotent algebraic groups. J. Pure Appl. Algebra 37(3) (1985) 299-315. | MR 797867 | Zbl 0576.20019

12 G.P. Hochschild: Basic Theory of Algebraic Groups and Lie Algebras. Springer (1981). | MR 620024 | Zbl 0589.20025

13 G. Heyneman and M.E. Sweedler: Affine Hopf algebras I. J. Algebra 13-2(1969) 192-242. | MR 245570 | Zbl 0203.31601

14 E.R. Kolchin: Differential Algebra and Algebraic Groups. Academic Press, New York (1973). | MR 568864 | Zbl 0264.12102

15 E.R. Kolchin and S. Lang: Existence of invariant bases. Proc. of Amer. Math. Soc. 11 (1960) 140-148. | MR 169841 | Zbl 0118.04601

16 S. Koizumi: The fields of moduli of polarized abelian varieties. Nagoya Math. J. 31 (1968) 185-245. | Zbl 0246.14006

17 T. Matsusaka: Algebraic deformations of polarized varieties. Nagoya Math. J. 31 (1968) 185-245. | MR 258827 | Zbl 0167.49501

18 M. Nagata: Local Rings. Interscience Publishers, New York (1962). | MR 155856 | Zbl 0123.03402

19 W. Nichols And B. Weisfeiler: Differential formal groups of J.F. Ritt. Amer. J. Math. 104 (5) (1982) 943-1005. | MR 675306 | Zbl 0552.14010

20 A. Robert: Automorphism groups of transcendental field extensions. J. Algebra 16(2) (1970) 252-271. | MR 276207 | Zbl 0205.06305

21 F. Sakai: Kodaira dimension of complements of divisors. In: Complex Analysis and Algebraic Geometry. Tokio, Iwanami (1977) pp. 239-257. | MR 590433 | Zbl 0375.14009

22 A. Seidenberg: On analytically equivalent ideals. Publ. Math. IHES 36 (1969) 69-74. | Numdam | MR 260726 | Zbl 0181.32402

23 J.P. Serre: Cohomologie Galoisienne. Springer Verlag. | Zbl 0812.12002

24 G. Shimura: On the field of rationality for abelian varieties. Nagoya Math. J. 45 (1972) 167-178. | MR 306215 | Zbl 0243.14012

25 M.E. Sweedler: Hopf Algebras. Benjamin, New York (1969). | MR 252485 | Zbl 0194.32901

26 A. Weil: The field of definition of a variety. Amer. J. Math. 78 3 (1956) 509-524. | MR 82726 | Zbl 0072.16001

27 M. Rosenlicht: Some basic theorems on algebraic groups. Amer. J. Math. 78 (1956) 401-463. | MR 82183 | Zbl 0073.37601