Fields of definition of algebraic varieties in characteristic zero
Buium, Alexandru
Compositio Mathematica, Tome 61 (1987), p. 339-352 / Harvested from Numdam
Publié le : 1987-01-01
@article{CM_1987__61_3_339_0,
     author = {Buium, Alexandru},
     title = {Fields of definition of algebraic varieties in characteristic zero},
     journal = {Compositio Mathematica},
     volume = {61},
     year = {1987},
     pages = {339-352},
     mrnumber = {883487},
     zbl = {0643.14011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1987__61_3_339_0}
}
Buium, Alexandru. Fields of definition of algebraic varieties in characteristic zero. Compositio Mathematica, Tome 61 (1987) pp. 339-352. http://gdmltest.u-ga.fr/item/CM_1987__61_3_339_0/

Buium, A.: Corps différentiels et modules des variétés algébriques. C.R. Acad. Sci. Paris 299 (1984) 983-985. | MR 774684 | Zbl 0597.14018

Grothendieck, A. and Dieudonné, J.: Eléments de Géometrie Algebrique. Publ. Math. IHES, Vol. 32. | Numdam

Grothendieck, A.: Fondements de la Géometrie Algébrique. Sém. Bourbaki (1957-1962). | Zbl 0239.14002

Kawamata, Y.: On deformations of compactifiable complex manifolds. Math. Ann. 234, 3 (1978) 247-267. | MR 499279 | Zbl 0363.32015

Kodaira, K. and Spencer, C.C.: On deformations of complex analytic structures, I, II. Ann. of Math. 67 (1958) 328-466. | MR 112154 | Zbl 0128.16901

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

Matsuda, M.: First order algebraic differential equations. Lecture Notes in math. 804. Springer (1980). | MR 576060 | Zbl 0447.12014

Matsumura, H.: Integrable derivations. Nagoya Math. J. 87 (1982) 227-244. | MR 676593 | Zbl 0458.13002

Matsusaka, T.: Algebraic deformations of polarized varieties. Nagoya Math. J. 31 (1968) 185-247. | MR 258827 | Zbl 0167.49501

Rosenlicht, M.: Some basic theorems on algebraic groups. Amer. J. Math. 1, 78 (1956) 401-443. | MR 82183 | Zbl 0073.37601

Seidenberg, A.: Derivations and integral closure. Pacific J. Math. 16 (1966) 167-173. | MR 188247 | Zbl 0133.29202

Viehweg, E.: Weak positivity and the aditivity of the Kodaira dimension, II: the Torelli map. In: Classification of Algebraic and Analytic manifolds. Birkhäuser (1983) 567-584. | MR 728619 | Zbl 0543.14006