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Characterization of two lines on a projective plane

Curves, Surfaces, Threefolds, …

Part of the Lecture Notes in Mathematics book series (LNM,volume 1016)

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References

  1. Coolidge, J.L.: A Treatise on Algebraic Plane Curves, Oxford Univ. Press, 1928.

    Google Scholar 

  2. Fujita, T.: On Zariski problem, Proc. Japan Acad., 55 A (1979), 10–110.

    MathSciNet  MATH  Google Scholar 

  3. Iitaka, S.: Algebraic Geometry, G.T.M. 76 (1982), Springer, Berlin-Heidelberg-New York.

    MATH  Google Scholar 

  4. Itaka, S.: Basic structure of algebraic varieties, Part 2, Cremona transformations and logarithmic Kodaira dimension, Advanced Studies in Pure Mathematics, vol.1, Kinokuniya, North-Holland, Tokyo.

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  5. Iitaka, S.: Minimal model for birational pair, Ann. of Mathematics and Statistics, 9 (1981), 1–12.

    CrossRef  Google Scholar 

  6. Kawamata, Y.: On the classification of non-complete algebraic surfaces, Algebraic Geometry, Proceedings, Copenhagen 1978 Lecture Notes in Math., 732, Springer, 1978, 215–232.

    Google Scholar 

  7. Miyanishi, M.: Theory of non-complete algebraic surfaces, Lecture Notes in Math., Springer, 1981.

    Google Scholar 

  8. Miyanishi, M. and Sugie, T.: Affine surfaces containing cylinder-like open subsets, J. Math. Kyoto Univ. 20 (1980), 11–42.

    MathSciNet  MATH  Google Scholar 

  9. Mohan Kumar, N. and Pavaman Murthy, M.: Curves with negative self-intersection number on rational surfaces, to appear.

    Google Scholar 

  10. Suzuki, S.: Birational geometry of birational pairs, preprint.

    Google Scholar 

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© 1983 Springer-Verlag

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Iitaka, S. (1983). Characterization of two lines on a projective plane. In: Raynaud, M., Shioda, T. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1016. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099974

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  • DOI: https://doi.org/10.1007/BFb0099974

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