Rational surfaces over perfect fields (en russe)
Publications Mathématiques de l'IHÉS (1966)
- Volume: 30, page 55-97
- ISSN: 0073-8301
Access Full Article
topHow to cite
topManin, Jurii I.. "Rational surfaces over perfect fields (en russe)." Publications Mathématiques de l'IHÉS 30 (1966): 55-97. <http://eudml.org/doc/103867>.
@article{Manin1966,
author = {Manin, Jurii I.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {algebraic geometry},
language = {rus},
pages = {55-97},
publisher = {Institut des Hautes Études Scientifiques},
title = {Rational surfaces over perfect fields (en russe)},
url = {http://eudml.org/doc/103867},
volume = {30},
year = {1966},
}
TY - JOUR
AU - Manin, Jurii I.
TI - Rational surfaces over perfect fields (en russe)
JO - Publications Mathématiques de l'IHÉS
PY - 1966
PB - Institut des Hautes Études Scientifiques
VL - 30
SP - 55
EP - 97
LA - rus
KW - algebraic geometry
UR - http://eudml.org/doc/103867
ER -
References
top- [1] ABHYANKAR S., Ramification theoretic methods in algebraic geometry, Princeton, 1959. Zbl0101.38201MR21 #4158
- [2] AMITSUR S., Generic splitting fields of central simple algebras, Ann. of Math., 62 (1955), pp. 8-43. Zbl0066.28604MR17,9d
- [3] ARTIN M., Some numerical criteria for contractability of curves on algebraic surfaces, Amer. Journal of Math., 84 (1962), pp. 485-496. Zbl0105.14404MR26 #3704
- [4] CARTAN H., EILENBERG S., Homological algebra, Princeton (1956). Zbl0075.24305MR17,1040e
- [5] CARTIER P., Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. math. France, 86 (1958), pp. 177-251. Zbl0091.33501MR21 #4957
- [6] COMESSATTI A., Fondamenti per la geometria sopra le superfici razionali dal punto di vista reale, Math. Ann., 73 (1912), pp. 1-72. Zbl43.1107.02JFM43.1107.02
- [7] ENRIQUES F., Sulle irrazionalita da cui puo farsi dipendere la resoluzione d'un' equazione algebrica f(x,y,z) = 0 con funzioni razionali di due parametri, Math. Annal, vol. 49 (1897), pp. 1-23. Zbl28.0559.02JFM28.0559.02
- [8] GROTHENDIECK A. (avec la collaboration de J. DIEUDONNÉ), Éléments de géométrie algébrique, Publ. Math. I.H.E.S., 4, 8, ... Zbl0203.23301
- [9] IGUSA J. I., Fibres ystems of Jacobian Varieties, Amer. Journ. of Math., 78 (1956), I, 171-199 ; II, 747-760. Zbl0074.15803MR18,935d
- [10] ИсковсCих B., О бupaӌuoнaлнЫх ф;opмaх paӌuoнaнЬ ных noϐepхнocmeŭ (пeчaтaeтся в Изв. AH CCCP, cep. мтeм.).
- [11] LANG S., On quasi-algebraic closure, Annals of Math., 55 (1952), pp. 373-390. Zbl0046.26202MR13,726d
- [12] Maнин Ю, Об apuфмemuкe paӌuoнaнЬ ных noϐepхнocmeŭ, Дoклaды AH CCCP, t. 152 (1963), n° 1, 46-49.
- [13] MUMFORD D., The topology of normal singularities of an algebraic surface and a criterion for simplicity, Publ. Math. I.H.E.S., 9. Zbl0108.16801
- [14] NAGATA M., On rational surfaces 1, Mem. Coll. Sci., Univ. Kyoto, sér. A, XXXII (1960), pp. 351-370. Zbl0100.16703
- [15] NÉRON A., Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. I.H.E.S., 21. Zbl0132.41403MR31 #3423
- [16] ONO T., On the Tamagawa number of algebraic tori, Annals of Math., vol. 78 (1963), 47-73. Zbl0122.39101MR28 #94
- [17] SEGRE B., The rational solutions of homogeneous cubic equations in four variables, Math. Notae, Universidad Rosario, anno II, fasc. 1-2, pp. 1-68. Zbl0043.27501
- [18] SEGRE B., The non-singular cubic surfaces, Clarendon Press, 1942. Zbl68.0358.01MR4,254bJFM68.0358.01
- [19] SERRE J.-P., Critère de rationalité pour les surfaces algébriques, Sém. Bourbaki, févr. 1957. Zbl0127.37703
- [20] SERRE J.-P., Cohomologie galoisienne, Lecture Notes in Math., n° 5, Springer, 1964. Zbl0128.26303
- [21] SERRE J.-P., Corps locaux, Act. Sci. Ind., n° 1296, Paris, 1962. Zbl0137.02601MR27 #133
- [22] SERRE J.-P., Morphismes universels et différentielles de troisième espèce, Sém. Chevalley, E.N.S., 1958-1959. Zbl0123.14001
- [23] SELMER E., Sufficient congruence conditions for the existence of rational points on certain cubic surfaces, Math. Scand., v. I (1953), pp. 113-119. Zbl0051.03202MR15,290b
- [24] WEIL A., Abstract versus classical algebraic geometry, Proc. Int. Congr. of mathematicians 1954, v. 3, pp. 550-558. Zbl0073.37303MR19,1078a
- [25] Bocкpeceнc043A;иЙ B., О ∂ϐyмpных aлƨeбpauчecкuх mopaх, Изв. AH CCCP, cep. мaтeм, t. 29, n° 1 (1965), 239-244.
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.