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Variétés unirationnelles non rationnelles [d'après M. Artin et D. Mumford]

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Book cover Séminaire Bourbaki vol. 1971/72 Exposés 400–417

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Bibliographie

  1. A. ANDREOTTI-On a theorem of Torelli, Am. J. of Math., 80 4 (1958), p. 801–828.

    Article  MathSciNet  MATH  Google Scholar 

  2. M. ARTIN and D. MUMFORD-Some elementary examples of unirational varieties which are not rational, Journal London Math. Soc., (to appear).

    Google Scholar 

  3. M. ATIYAH-On analytic surfaces with double points, Proc. Roy. Soc. London, Ser. A 247 (1958), p. 237–244.

    Article  MathSciNet  MATH  Google Scholar 

  4. C. H. CLEMENS and P. A. GRIFFITHS-The intermediate jacobian of the cubic threefold, preprint.

    Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

  6. Ju. I. MANIN et V. A. ISKOVSKIH-L'hypersurface quartique de dimension trois, et un contre-exemple au problème de Lüroth, Mat. Sbornik, 86 1 (1971), 140–166

    MathSciNet  Google Scholar 

  7. L. ROTH-Algebraic threefolds, Ergebnisse der Math., Heft 6, Springer-Verlag, 1955.

    Google Scholar 

  8. B. SAINT-DONAT-Sur un théorème de G. Castelnuovo et F. Enriques, Thèse de 3ème Cycle, Lyon 1968.

    Google Scholar 

  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.

    Google Scholar 

  10. J.-P. SERRE-On the fundamental group of a unirational variety, J. London Math. Soc. 34 (1959), p. 481–484.

    Article  MathSciNet  MATH  Google Scholar 

  11. A. WEIL-Introduction à l'étude des variétés kählériennes, Hermann, Paris 1958.

    MATH  Google Scholar 

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A. Dold B. Eckmann

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© 1973 N. Bourbaki

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Deligne, P. (1973). Variétés unirationnelles non rationnelles [d'après M. Artin et D. Mumford]. In: Dold, A., Eckmann, B. (eds) Séminaire Bourbaki vol. 1971/72 Exposés 400–417. Lecture Notes in Mathematics, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069275

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  • DOI: https://doi.org/10.1007/BFb0069275

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  • Print ISBN: 978-3-540-06179-3

  • Online ISBN: 978-3-540-38403-8

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