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Bimeromorphic geometry of algebraic and analytic threefolds

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 947)

Keywords

  • Line Bundle
  • Abelian Variety
  • Hodge Structure
  • General Fibre
  • Cartier Divisor

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References

  1. Ashikaga, T., Rhe deformation behaviour of the Kodaira dimension of algebraic manifold. Tohoku Math. J. 33 (1981), 193–214.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Atiyah, M. F., Hitchin, N. J., and I. M. Singer., Self-duality in four-dimensional Riemannian geometry. Proc. Royal Soc. London A 362 (1978), 425–461.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Blanchard, A., Sur les varietes analytiques comples. Ann. Sci. Ecole Norm. Sup. 73 (1956), 157–202.

    MathSciNet  MATH  Google Scholar 

  4. Campana, F., Application de l’espace des cycles a la classification bimeromorphe des espaces analytiques Kahleriens compacts, preprint 1980.

    Google Scholar 

  5. Fujiki, A., On the structure of compact complex manifolds in C, to appear.

    Google Scholar 

  6. Fujita, T., On Kähler fibre spaces over curves, J. Math. Soc. Japan, 30 (1978), 779–794.

    Google Scholar 

  7. Griffiths, P. A., Integrals of algebraic manifolds III. Pub Math. IHES 38 (1970), 126–180.

    Google Scholar 

  8. Hartshorne, R., Ample vector bundles on curves. Nagoya Math. J. 43 (1971), 73–89.

    MathSciNet  MATH  Google Scholar 

  9. Iitaka, S., Deformations of compact complex surfaces, II, J. Math. Soc. Japan, 22 (1970), 247–261.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Iitaka, S., On D-dimensions of algebraic varieties. J. Math. Soc. Japan, 23 (1971), 356–373.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Kawamata, Y., Characterization of abelian varieties, Compositio Math. 43 (1981), 253–276.

    MathSciNet  MATH  Google Scholar 

  12. Kawamata, Y and E. Viehweg., On a characterization of an abelian variety in the classification theory of algebraic varieties. Compositio Math. 41 (1980), 355–360.

    MathSciNet  MATH  Google Scholar 

  13. Kempf, G., Kundsen, F., Mumford, D. and V. Saint-Donat, Toroidal embeddings I, Lecture Notes in Math. 339, Springer, 1973.

    Google Scholar 

  14. Kodaira, K., On the structure of compact complex analytic surfaces, I. Amer. J. Math., 87 (1964) 751–798.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Kuhlmann, N., Ein Satz uber Regelflache vom Geschlecht 2, Archiv Math. 29 (1977), 619–620.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. Mabuchi, T., Invariant β and uniruled threefolds, to appear.

    Google Scholar 

  17. Nakamura, I., Complex parallelisable manifolds and their small deformations. J. Diff. Geometry 10 (1975), 85–112.

    MathSciNet  MATH  Google Scholar 

  18. Ueno, K., Classification theory of algebraic varieties and com compact complex spaces, Lecture Notes in Math. 439, Springer, 1975

    Google Scholar 

  19. Ueno, K., Classification of algebraic varieties, II, Proceedings of the International symposium on Algebraic Geometry, Kyoto, 1977 693–708, Kinokumiya Shoten, 1978.

    Google Scholar 

  20. Ueno, K., Birational geometry of algebraic threefolds, GJournees de geometric algebrique d’Angers 1979, 311–322, Sijthoff Noordhoff 1980.

    Google Scholar 

  21. Ueno, K., On algebraic fibre spaces of abelian varieties, Math Ann. 237 (1978), 1–22.

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. Ueno, K., On three-dimensicnal compact complex manifolds with non-positive Kodaira dimensicn, Proc. Japan Acad., 56 (1980), 479–483.

    CrossRef  MathSciNet  MATH  Google Scholar 

  23. Ueno, K., On the structure of three-dimensional compact complex manifolds with positive Albanese dimension, in preparation.

    Google Scholar 

  24. Viehweg, E., Klassifikationstheorie algebraischer Varietäten der Dimension drei, Compositio Math. 41 (1980), 361–400.

    MathSciNet  MATH  Google Scholar 

  25. Viehweg, E., Die Additivität der Kodaira Dimension für projektive Fasserräume über Varietäten des allgemeinen Typs, to appear.

    Google Scholar 

  26. Wilson, P. M. H., On the canonical ring of algebraic varieties, to appear.

    Google Scholar 

  27. Zariski, O., The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Ann. of Math. 76 (1962), 560–615.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1982 Springer-Verlag

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Ueno, K. (1982). Bimeromorphic geometry of algebraic and analytic threefolds. In: Conte, A. (eds) Algebraic Threefolds. Lecture Notes in Mathematics, vol 947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093584

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  • DOI: https://doi.org/10.1007/BFb0093584

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11587-8

  • Online ISBN: 978-3-540-39342-9

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