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Conic bundles on non-rational surfaces

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Algebraic Geometry — Open Problems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 997))

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References

  1. Beauville, A.: Varietés de Prym et Jacobiennes intermédiaires, Ann. E.N.S. 10 (1977), 309–391.

    MathSciNet  MATH  Google Scholar 

  2. Beltrametti, M. and Francia, P.: Threefolds with negative Kodaira dimension and positive irregularity, Nagoya Math. J. (to appear).

    Google Scholar 

  3. Bloch, S. and Murre, J.P.: On the Chow group of certain types of Fano threefolds, Compositio Math. vol. 39 (1979), 47–105.

    MathSciNet  MATH  Google Scholar 

  4. Chevalley, C.: Anneaux de Chow et Applications, Séminaire Chevalley, Paris (1958).

    Google Scholar 

  5. Clemens, C.H. and Griffiths, P.A.: The intermediate Jacobian of the cubic threefold, Annals of Math. vol. 92 (1970), 281–356.

    MathSciNet  MATH  Google Scholar 

  6. Conforto, F.: Le superficie razionali, Zanichelli (1939).

    Google Scholar 

  7. Enriques, F.: Sulle irrazionalitá da cui puó farsi dipendere la risoluzione di una equazione algebrica f(x,y,z) = O con funzioni razionali di due parametri, Math. Ann. Bd. IL (1897), 1–23.

    Article  MathSciNet  MATH  Google Scholar 

  8. Grothendieck, A. and Dieudonné, J.: Eléments de Géometrie Algébrique, Publ. I.H.E.S., II n.8 (1961), IV (3me partie) n.28 (1966).

    Google Scholar 

  9. Farkas, H.M.: On the Schottky relation and its generalization to arbitrary genus, Annals of Math. vol. 92 (1970) 57–81.

    Article  MathSciNet  MATH  Google Scholar 

  10. Fulton, W.: Rational equivalence on singular varieties, (appendix to "Riemann-Roch for Singular Varieties" by P. Baum, W. Fulton, R. MacPherson), Publ. I.H.E.S. (1974), 148–167.

    Google Scholar 

  11. Griffiths, P.A.: Some trascendental methods in the study of algebraic cycles, Several Complex Variables II, Maryland, Springer-Verlag, 185 (1970).

    Google Scholar 

  12. Hartshorne, R.: Algebraic Geometry, GTM, vol. 52 Springer-Verlag (1977).

    Google Scholar 

  13. Lieberman, D.: Intermediate Jacobians, Algebraic Geometry Oslo 1970, 5th Nordic Summer School in Math., Noordhoff (1972), 125–141.

    Google Scholar 

  14. Mumford, D.: Abelian Varieties, Oxford Univ. Press (1970).

    Google Scholar 

  15. Mumford, D.: Prym varieties I, Contribution to Analysis, Academic Press (1974), 325–350.

    Google Scholar 

  16. Mori, S.: Threefolds whose canonical bundles are not numerically effective, Annals of Math. 116 (1982), 133–176.

    Article  MathSciNet  MATH  Google Scholar 

  17. Roitman, A.A.: The torsion of the group of O-cycles modulo rational equivalence, Annals of Math. 111 (1980) 553–569.

    Article  MathSciNet  Google Scholar 

  18. Saito, H.: Abelian varieties attached to cycles of intermediate dimension, Nagoya Math. J., vol. 75 (1979), 95–119.

    Article  MathSciNet  MATH  Google Scholar 

  19. Tyurin, A.N.: The middle Jacobian of three-dimensional varieties, J. Soviet Math. 13 (1980), 707–814.

    Article  MATH  Google Scholar 

  20. Bloch, S., Kas, A. and Lieberman, D.: Zero cycles on surfaces with Pg = O, Compositio Math. vol. 33 (1976), 135–145.

    MathSciNet  MATH  Google Scholar 

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Authors
  1. M. Beltrametti
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  2. P. Francia
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Ciro Ciliberto Franco Ghione Ferruccio Orecchia

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© 1983 Springer-Verlag

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Beltrametti, M., Francia, P. (1983). Conic bundles on non-rational surfaces. In: Ciliberto, C., Ghione, F., Orecchia, F. (eds) Algebraic Geometry — Open Problems. Lecture Notes in Mathematics, vol 997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061636

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  • DOI: https://doi.org/10.1007/BFb0061636

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12320-0

  • Online ISBN: 978-3-540-40047-9

  • eBook Packages: Springer Book Archive

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