Variétés unirationnelles non rationnelles

Pierre Deligne

Séminaire Bourbaki (1971-1972)

  • Volume: 14, page 45-57
  • ISSN: 0303-1179

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Deligne, Pierre. "Variétés unirationnelles non rationnelles." Séminaire Bourbaki 14 (1971-1972): 45-57. <http://eudml.org/doc/109821>.

@article{Deligne1971-1972,
author = {Deligne, Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {45-57},
publisher = {Springer-Verlag},
title = {Variétés unirationnelles non rationnelles},
url = {http://eudml.org/doc/109821},
volume = {14},
year = {1971-1972},
}

TY - JOUR
AU - Deligne, Pierre
TI - Variétés unirationnelles non rationnelles
JO - Séminaire Bourbaki
PY - 1971-1972
PB - Springer-Verlag
VL - 14
SP - 45
EP - 57
LA - fre
UR - http://eudml.org/doc/109821
ER -

References

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  1. [1] A. Andreotti - On a theorem of Torelli, Am. J. of Math., 804 (1958), p. 801-828. Zbl0084.17304MR102518
  2. [2] M. Artin and D. Mumford - Some elementary examples of unirational varieties which are not rational, Journal London Math. Soc., (to appear). Zbl0244.14017MR321934
  3. [3] M. Atiyah - On analytic surfaces with double points, Proc. Roy. Soc. London, Ser. A 247 (1958), p. 237-244. Zbl0135.21301MR95974
  4. [4] C.H. Clemens and P.A. Griffiths - The intermediate jacobian of the cubic threefold, preprint. MR302652
  5. [5] H. Hironaka - Resolution of singularities of an algebraic variety over a field of characteristic zero : I, II, Ann. of Math., 79 (1964), p. 109-326. Zbl0122.38603MR199184
  6. [6] Ju.I. Manin et V.A. Iskovskih - L'hypersurface quartique de dimension trois, et un contre-exemple au problème de Lüroth, Mat. Sbornik, 861 (1971),140-166 Zbl0222.14009MR291172
  7. [7] L. Roth - Algebraic threefolds, Ergebnisse der Math., Heft 6, Springer-Verlag, 1955. Zbl0066.14704MR76426
  8. [8] B. Saint-Donat - Sur un théorème de G. Castelnuovo et F. Enriques, Thèse de 3ème Cycle, Lyon1968. 
  9. [9] J.-P. Serre - Critère de rationalité pour les surfaces algébriques (d'après K. Kodaira), Séminaire Bourbaki, exposé 146, volume 1956/57, W. A. Benjamin, New York. Zbl0127.37703
  10. [10] J.-P. Serre - On the fundamental group of a unirational variety, J. London Math. Soc.34 (1959), p. 481-484. Zbl0097.36301MR109155
  11. [11] A. Weil - Introduction à l'étude des variétés kählériennes, Hermann, Paris1958. Zbl0137.41103MR111056

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